@article{MTMT:34751939,
	title = {On Some Combinatorial Properties of Balancing Split Quaternions},
	url = {https://m2.mtmt.hu/api/publication/34751939},
	author = {Bród, Dorota},
	doi = {10.3390/sym16030373},
	journal-iso = {SYMMETRY-BASEL},
	journal = {SYMMETRY (BASEL)},
	volume = {16},
	unique-id = {34751939},
	abstract = {Quaternions and split quaternions are used in quantum physics, computer science, and in many areas of mathematics. In this paper, we define and study two new classes of split quaternions, namely balancing split quaternions and Lucas-balancing split quaternions. Moreover, well-known properties, e.g., Catalan, d’Ocagne, and Vajda identities, for these quaternions are also presented. We give matrix generators for balancing split quaternions and Lucas-balancing split quaternions, too.},
	year = {2024},
	eissn = {2073-8994},
	pages = {373},
	orcid-numbers = {Bród, Dorota/0000-0001-5181-1725}
}

@article{MTMT:34449635,
	title = {Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/34449635},
	author = {Chimpanzo, J. and Otero-Espinar, M.V. and Borges, A. and Vasco, P. and Catarino, P.},
	doi = {10.2478/amsil-2023-0022},
	journal-iso = {ANN MATH SIL},
	journal = {ANNALES MATHEMATICAE SILESIANAE},
	volume = {38},
	unique-id = {34449635},
	issn = {0860-2107},
	abstract = {A new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.},
	year = {2024},
	eissn = {2391-4238},
	pages = {1},
	orcid-numbers = {Catarino, P./0000-0001-6917-5093}
}

@article{MTMT:34746887,
	title = {Ä New Subclass of Bi-Univalent Functions Associated with Balancing Polynomial"},
	url = {https://m2.mtmt.hu/api/publication/34746887},
	author = {Naik, Avaya},
	doi = {10.37622/IJCAM/19.1.2024.01-010},
	journal-iso = {INTERNATIONAL JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	journal = {INTERNATIONAL JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	volume = {19},
	unique-id = {34746887},
	issn = {1819-4966},
	year = {2024},
	pages = {01-10}
}

@article{MTMT:34216276,
	title = {Initial Coefficient Estimates of Bi-Univalent Functions Linked with Balancing Coefficients},
	url = {https://m2.mtmt.hu/api/publication/34216276},
	author = {Akgül, Arzu},
	doi = {10.37394/23206.2023.22.87},
	journal-iso = {WSEAS TRANS MATH},
	journal = {WSEAS TRANSACTIONS ON MATHEMATICS},
	volume = {22},
	unique-id = {34216276},
	issn = {1109-2769},
	year = {2023},
	eissn = {2224-2880},
	pages = {792-797}
}

@article{MTMT:34084181,
	title = {On Bihypernomials Related to Balancing and Chebyshev Polynomials},
	url = {https://m2.mtmt.hu/api/publication/34084181},
	author = {Brod, Dorota and Szynal-Liana, Anetta},
	doi = {10.59849/2218-6816.2023.2.200},
	journal-iso = {Azerbaijan Journal of Mathematics},
	journal = {Azerbaijan Journal of Mathematics},
	volume = {13},
	unique-id = {34084181},
	issn = {2218-6816},
	year = {2023},
	pages = {200-218}
}

@article{MTMT:33681052,
	title = {The Tribonacci-type balancing numbers and their applications},
	url = {https://m2.mtmt.hu/api/publication/33681052},
	author = {Hulku, S and Deveci, Ö},
	journal-iso = {MATH MORAV},
	journal = {MATHEMATICA MORAVICA},
	volume = {27},
	unique-id = {33681052},
	issn = {1450-5932},
	year = {2023},
	pages = {23-35}
}

@article{MTMT:34443849,
	title = {Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials},
	url = {https://m2.mtmt.hu/api/publication/34443849},
	author = {Hussen, Abdulmtalb and Illafe, Mohamed},
	doi = {10.3390/math11244941},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {11},
	unique-id = {34443849},
	abstract = {In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a2 and a3 and address the Fekete–Szegö functional problems for functions belonging to this new subclass. We demonstrate that several new results can be derived by specializing the parameters in our main findings. The results obtained from this study will enrich the theoretical foundation of this field and open new avenues for mathematical inquiry and application.},
	year = {2023},
	eissn = {2227-7390},
	pages = {4941},
	orcid-numbers = {Hussen, Abdulmtalb/0000-0001-7626-5871; Illafe, Mohamed/0000-0002-5891-4249}
}

@CONFERENCE{MTMT:34093945,
	title = {Some Identities for Balancing and Lucas-Balancing Numbers in Bidimensional version},
	url = {https://m2.mtmt.hu/api/publication/34093945},
	author = {JOSÉ, CHIMPANZO and PAULA, CATARINO and MARÍA, OTERO-ESPINAR},
	booktitle = {IV. International Conference on Mathematics and Its Applications in Science and Engineering (ICMASE 2023)},
	unique-id = {34093945},
	year = {2023},
	pages = {17-18}
}

@article{MTMT:34080969,
	title = {Coding theory on the generalized balancing sequence},
	url = {https://m2.mtmt.hu/api/publication/34080969},
	author = {Mehraban, Elahe and Hashemi, Mansour},
	doi = {10.7546/nntdm.2023.29.3.503-524},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {29},
	unique-id = {34080969},
	issn = {1310-5132},
	abstract = {In this paper, we introduce the generalized balancing sequence and its matrix. Then by using the generalized balancing matrix, we give a coding and decoding method.},
	year = {2023},
	eissn = {2367-8275},
	pages = {503-524},
	orcid-numbers = {Mehraban, Elahe/0000-0001-8544-9592; Hashemi, Mansour/0000-0003-0260-9373}
}

@article{MTMT:34080968,
	title = {CERTAIN IDENTITIES INVOLVING k-BALANCING AND k-LUCAS-BALANCING NUMBERS VIA MATRICES},
	url = {https://m2.mtmt.hu/api/publication/34080968},
	author = {Ray, PK},
	journal-iso = {ACTA MATH ACAD PAEDAG NYÍREGYH},
	journal = {ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS},
	volume = {34},
	unique-id = {34080968},
	issn = {0866-0174},
	year = {2023},
	eissn = {1786-0091},
	pages = {120-130}
}

@article{MTMT:33871543,
	title = {b3-subbalancing and b3-Lucas subbalancing numbers},
	url = {https://m2.mtmt.hu/api/publication/33871543},
	author = {Sari, S and Gozeri, GK},
	doi = {10.2298/FIL2322623S},
	journal-iso = {FILOMAT},
	journal = {FILOMAT},
	volume = {37},
	unique-id = {33871543},
	issn = {0354-5180},
	year = {2023},
	eissn = {2406-0933},
	pages = {7623-7639}
}

@article{MTMT:34591683,
	title = {Almost balancers, almost cobalancers, almost Lucas-balancers and almost Lucas-cobalancers},
	url = {https://m2.mtmt.hu/api/publication/34591683},
	author = {Tekcan, Ahmet and Turkmen, Esra Zeynep},
	doi = {10.7546/nntdm.2023.29.4.682},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {29},
	unique-id = {34591683},
	issn = {1310-5132},
	abstract = {In this work, the general terms of almost balancers, almost cobalancers, almost Lucasbalancers and almost Lucas-cobalancers of first and second type are determined in terms of balancing and Lucas-balancing numbers. Later some relations on all almost balancing numbers and all almost balancers are obtained. Further the general terms of all balancing numbers, Pell numbers and Pell-Lucas number are determined in terms of almost balancers, almost Lucasbalancers, almost cobalancers and almost Lucas-cobalancers of first and second type.},
	keywords = {Balancing numbers; Pell numbers; Pell-Lucas numbers; Almost balancing numbers},
	year = {2023},
	eissn = {2367-8275},
	pages = {682-694}
}

@article{MTMT:33121096,
	title = {On the Properties of Balancing and Lucas-Balancing p-Numbers},
	url = {https://m2.mtmt.hu/api/publication/33121096},
	author = {Behera, A and Ray, PK},
	doi = {10.52547/ijmsi.17.2.147},
	journal-iso = {IRAN J MATH SCI INFORM},
	journal = {IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS},
	volume = {17},
	unique-id = {33121096},
	issn = {1735-4463},
	year = {2022},
	eissn = {2008-9473},
	pages = {147-163}
}

@article{MTMT:33582605,
	title = {Two generalizations of dual-complex Lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/33582605},
	author = {Bród, Dorota and Szynal-Liana, Anetta and Włoch, Iwona},
	doi = {10.2478/ausm-2022-0014},
	journal-iso = {ACTA UNIV SAPIENTIAE MATH},
	journal = {ACTA UNIVERSITATIS SAPIENTIAE MATHEMATICA},
	volume = {14},
	unique-id = {33582605},
	issn = {1844-6094},
	abstract = {In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers. We give some of their properties, among others the Binet formula, Catalan, Cassini, d’Ocagne identities.},
	year = {2022},
	eissn = {2066-7752},
	pages = {220-230}
}

@mastersthesis{MTMT:33124032,
	title = {Variations sur les systèmes d’équations aux différences autonomes},
	url = {https://m2.mtmt.hu/api/publication/33124032},
	author = {Mokrani, N},
	unique-id = {33124032},
	year = {2022}
}

@article{MTMT:32760449,
	title = {Generalized Edouard Numbers},
	url = {https://m2.mtmt.hu/api/publication/32760449},
	author = {Soykan, Yüksel},
	journal-iso = {International Journal of Advances in Applied Mathematics and Mechanics},
	journal = {International Journal of Advances in Applied Mathematics and Mechanics},
	volume = {9},
	unique-id = {32760449},
	issn = {2347-2529},
	year = {2022},
	pages = {41-52}
}

@article{MTMT:32922417,
	title = {On the sum of the cubes of generalized balancing numbers. The sum formula n∑k=0xkW3mk+j},
	url = {https://m2.mtmt.hu/api/publication/32922417},
	author = {Soykan, Yüksel and Tasdemir, Erkan and Dikmen, Can Murat},
	journal-iso = {Open J. Math. Sci.},
	journal = {Open Journal of Mathematical Sciences},
	volume = {6},
	unique-id = {32922417},
	issn = {2616-4906},
	year = {2022},
	eissn = {2523-0212},
	pages = {152-167}
}

@article{MTMT:32930170,
	title = {Generalized bi-periodic balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/32930170},
	author = {Sriram, S and Veeramallan, P},
	journal-iso = {ADV APPL MATH SCI},
	journal = {ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES},
	volume = {21},
	unique-id = {32930170},
	issn = {0974-6803},
	year = {2022},
	eissn = {2197-1161},
	pages = {4515-4522}
}

@article{MTMT:33256522,
	title = {General terms of all almost balancing numbers of first and second type},
	url = {https://m2.mtmt.hu/api/publication/33256522},
	author = {Tekcan, A and Erdem, A},
	doi = {10.46298/cm.10318},
	journal-iso = {COMMUN MATH},
	journal = {COMMUNICATIONS IN MATHEMATICS},
	volume = {31},
	unique-id = {33256522},
	issn = {1804-1388},
	abstract = {In this work, we determined the general terms of all almost balancing numbers of first and second type in terms of balancing numbers and conversely we determined the general terms of all balancing numbers in terms of all almost balancing numbers of first and second type. We also set a correspondence between all almost balancing numbers of first and second type and Pell numbers. © 2023 Ahmet Tekcan and Alper Erdem.},
	keywords = {Balancing number; Pell number; almost balancing number},
	year = {2022},
	eissn = {2336-1298},
	pages = {167}
}

@article{MTMT:33298436,
	title = {Almost balcobalancing numbers},
	url = {https://m2.mtmt.hu/api/publication/33298436},
	author = {Tekcan, Ahmet and Yıldız, Meryem},
	journal-iso = {ANN UNIV SCI BP R EÖTVÖS NOM SECT COMPUT},
	journal = {ANNALES UNIVERSITATIS SCIENTIARUM BUDAPESTINENSIS DE ROLANDO EOTVOS NOMINATAE SECTIO COMPUTATORICA},
	volume = {53},
	unique-id = {33298436},
	issn = {0138-9491},
	year = {2022},
	pages = {71-83}
}

@mastersthesis{MTMT:32302173,
	title = {Modelisátion de suites récurrentes linéaires par des triangles arithmétiques},
	url = {https://m2.mtmt.hu/api/publication/32302173},
	author = {Amrouche, Said},
	unique-id = {32302173},
	year = {2021}
}

@article{MTMT:32103423,
	title = {Classes of gap balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/32103423},
	author = {Bartz, Jeremiah and Dearden, Bruce and Iiams, Joel E.},
	doi = {10.1216/rmj.2021.51.399},
	journal-iso = {ROCKY MT J MATH},
	journal = {ROCKY MOUNTAIN JOURNAL OF MATHEMATICS},
	volume = {51},
	unique-id = {32103423},
	issn = {0035-7596},
	year = {2021},
	eissn = {1945-3795},
	pages = {399-411}
}

@CONFERENCE{MTMT:31898063,
	title = {Coding theory on the generalized balancing sequence},
	url = {https://m2.mtmt.hu/api/publication/31898063},
	author = {Elahe, Mehraban and Mansour, Hashemi},
	booktitle = {The 51th Annual Iranian Mathematics Conference},
	unique-id = {31898063},
	year = {2021},
	pages = {EMMH}
}

@article{MTMT:31620931,
	title = {Polynomial values of surface point counting polynomials},
	url = {https://m2.mtmt.hu/api/publication/31620931},
	author = {Hajdu, Lajos and Herendi, Orsolya},
	doi = {10.1142/S1793042121500020},
	journal-iso = {INT J NUMBER THEORY},
	journal = {INTERNATIONAL JOURNAL OF NUMBER THEORY},
	volume = {17},
	unique-id = {31620931},
	issn = {1793-0421},
	year = {2021},
	eissn = {1793-7310},
	pages = {15-32}
}

@article{MTMT:32770372,
	title = {Coding theory based on balancing polynomials},
	url = {https://m2.mtmt.hu/api/publication/32770372},
	author = {Prasad, B},
	journal-iso = {CONTROL CYBERN},
	journal = {CONTROL AND CYBERNETICS},
	volume = {50},
	unique-id = {32770372},
	issn = {0324-8569},
	year = {2021},
	pages = {335-346}
}

@article{MTMT:32682524,
	title = {A study on the sum of the squares of generalized Balancing numbers: the sum formula $\sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$},
	url = {https://m2.mtmt.hu/api/publication/32682524},
	author = {Soykan, Yüksel and Ta̧sdemir, Erkan and Dikmen, Can Murat},
	journal-iso = {JIAMCS},
	journal = {Journal of Innovative Applied Mathematics and Computational Sciences},
	volume = {1},
	unique-id = {32682524},
	year = {2021},
	eissn = {2773-4196},
	pages = {16-30}
}

@article{MTMT:33269360,
	title = {On t-Balancers, t-Balancing Numbers and Lucas t-Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/33269360},
	author = {Tekcan, A and Aydin, S},
	journal-iso = {LIBERTAS MATHEMATICA},
	journal = {LIBERTAS MATHEMATICA},
	volume = {41},
	unique-id = {33269360},
	issn = {0278-5307},
	year = {2021},
	eissn = {2182-567X},
	pages = {37-51}
}

@article{MTMT:32367186,
	title = {Balcobalancing numbers and balcobalancers},
	url = {https://m2.mtmt.hu/api/publication/32367186},
	author = {Tekcan, Ahmet and Yildiz, Meryem},
	doi = {10.37193/CMI.2021.02.11},
	journal-iso = {CREAT MATH INFORM},
	journal = {CREATIVE MATHEMATICS AND INFORMATICS},
	volume = {30},
	unique-id = {32367186},
	issn = {1584-286X},
	year = {2021},
	eissn = {1843-441X},
	pages = {203-222}
}

@article{MTMT:32328454,
	title = {k-Almost Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/32328454},
	author = {Tekcan, Ahmet},
	journal-iso = {INT J APPL MAT STAT},
	journal = {INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND STATISTICS},
	volume = {60},
	unique-id = {32328454},
	issn = {0973-1377},
	abstract = {In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k >= 1.},
	keywords = {quadratic form; Pell equation; Balancing number; almost balancing number; cobalancing number},
	year = {2021},
	pages = {82-89}
}

@article{MTMT:31634000,
	title = {Balcobalancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/31634000},
	author = {Ahmet, Tekcan and Meryem, Yıldız},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {25},
	unique-id = {31634000},
	issn = {1310-5132},
	year = {2020},
	eissn = {2367-8275}
}

@article{MTMT:31362476,
	title = {Counting families of generalized balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/31362476},
	author = {Bartz, Jeremiah and Dearden, Bruce and Iiams, Joel},
	journal-iso = {AUSTRALAS J COMBIN},
	journal = {AUSTRALASIAN JOURNAL OF COMBINATORICS},
	volume = {77},
	unique-id = {31362476},
	issn = {1034-4942},
	year = {2020},
	eissn = {2202-3518},
	pages = {318-325}
}

@article{MTMT:31664662,
	title = {Two Generalizations of Dual-Hyperbolic Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/31664662},
	author = {Bród, Dorota and Szynal-Liana, Anetta and Włoch, Iwona},
	doi = {10.3390/sym12111866},
	journal-iso = {SYMMETRY-BASEL},
	journal = {SYMMETRY (BASEL)},
	volume = {12},
	unique-id = {31664662},
	year = {2020},
	eissn = {2073-8994},
	pages = {1866}
}

@article{MTMT:31138058,
	title = {TRIANGULAR-LIKE NUMBERS WHICH ARE TRIANGULAR},
	url = {https://m2.mtmt.hu/api/publication/31138058},
	author = {GP, Krisna and SS, Pradhan},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {57},
	unique-id = {31138058},
	issn = {0015-0517},
	year = {2020},
	pages = {356-362}
}

@article{MTMT:34183879,
	title = {On several kinds of sums of balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/34183879},
	author = {Komatsu, T. and Panda, G.K.},
	journal-iso = {ARS COMBINATORIA},
	journal = {ARS COMBINATORIA},
	volume = {153},
	unique-id = {34183879},
	issn = {0381-7032},
	abstract = {The balancing numbers Bn (n = 0,1, • • •) are solutions of the binary recurrence Bn = 6Bn-i - Bn-2 (n > 2) with Bo = 0 and B\\ = 1. In this paper we show several relations about the sums of product of two balancing numbers of the type £m=o £fcm+r-Bfe(n-m)+r (fc > r > 0) and the alternating sum of reciprocal of balancing numbers -g^J j. Similar results are also obtained for Lucas-balancing numbers C« (n = 0,1,«• ♦), satisfying the binary recurrence Cn = 6Cn-i - Cn-2 (n > 2) with Co = 1 and C\\ = 3. Some binomial sums involving these numbers are also explored. © 2020 Charles Babbage Research Centre. All rights reserved.},
	keywords = {Balancing numbers; Lucas-balancing numbers; reciprocal sums},
	year = {2020},
	pages = {127-148}
}

@article{MTMT:31793954,
	title = {Sums of balancing-like sequences with binomial coefficients},
	url = {https://m2.mtmt.hu/api/publication/31793954},
	author = {Pradhan, S.S. and Panda, G.K.},
	doi = {10.17777/pjms2020.23.3.421},
	journal-iso = {Proceedings of the Jangjeon Mathematical Society},
	journal = {Proceedings of the Jangjeon Mathematical Society},
	volume = {23},
	unique-id = {31793954},
	issn = {1598-7264},
	year = {2020},
	pages = {421-432}
}

@article{MTMT:31611232,
	title = {A generalization to almost balancing and cobalancing numbers using triangular numbers},
	url = {https://m2.mtmt.hu/api/publication/31611232},
	author = {Rayaguru, S. G. and Panda, G. K.},
	doi = {10.7546/nntdm.2020.26.3.135-148},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {26},
	unique-id = {31611232},
	issn = {1310-5132},
	year = {2020},
	eissn = {2367-8275},
	pages = {135-148}
}

@article{MTMT:31197695,
	title = {A cryptography method based on hyperbolic balancing and Lucas-balancing functions},
	url = {https://m2.mtmt.hu/api/publication/31197695},
	author = {Ray, Prasanta Kumar},
	doi = {10.22199/issn.0717-6279-2020-01-0009},
	journal-iso = {PROYECCIONES J MATH},
	journal = {PROYECCIONES JOURNAL OF MATHEMATICS},
	volume = {39},
	unique-id = {31197695},
	issn = {0716-0917},
	year = {2020},
	eissn = {0717-6279},
	pages = {135-152},
	orcid-numbers = {Ray, Prasanta Kumar/0000-0002-1208-8113}
}

@article{MTMT:31294916,
	title = {Bi-Periodic Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/31294916},
	author = {Tasci, Dursun and Sevgi, Emre},
	journal-iso = {J SCI ARTS},
	journal = {JOURNAL OF SCIENCE AND ARTS},
	volume = {20},
	unique-id = {31294916},
	issn = {1844-9581},
	year = {2020},
	eissn = {2068-3049},
	pages = {75-84}
}

@article{MTMT:31738637,
	title = {BI-PERIODIC BALANCING NUMBERS},
	url = {https://m2.mtmt.hu/api/publication/31738637},
	author = {Tasci, Dursun and Sevgi, Emre},
	journal-iso = {J SCI ARTS},
	journal = {JOURNAL OF SCIENCE AND ARTS},
	unique-id = {31738637},
	issn = {1844-9581},
	abstract = {In this paper, we introduce a new generalization of the balancing numbers which we call bi-periodic balancing numbers asb(n) = {6cb(n-1) - b(n-2), if n is even, n >= 2 6db(n-1) - b(n-2), if n is oddwith initial conditions b(0) = 0, b(1) = 1. We find the generating function for this sequence and produce a Binet's formula.},
	keywords = {generating function; Balancing numbers; k-Balancing numbers; Bi-periodic balancing numbers; Binet formula; Cassini identity; Catalan identity},
	year = {2020},
	eissn = {2068-3049},
	pages = {75-84}
}

@article{MTMT:31286436,
	title = {t-cobalancing numbers and t-cobalancers},
	url = {https://m2.mtmt.hu/api/publication/31286436},
	author = {Tekcan, Ahmet and Erdem, Alper},
	doi = {10.7546/nntdm.2020.26.1.45-58},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {26},
	unique-id = {31286436},
	issn = {1310-5132},
	year = {2020},
	eissn = {2367-8275},
	pages = {45-58}
}

@article{MTMT:34185177,
	title = {Contextualising Safety in Numbers: a longitudinal investigation into change in cycling safety in Britain, 1991–2001 and 2001–2011},
	url = {https://m2.mtmt.hu/api/publication/34185177},
	author = {Aldred, Rachel and Goel, Rahul and Woodcock, James and Goodman, Anna},
	doi = {10.1136/injuryprev-2017-042498},
	journal-iso = {INJURY PREV},
	journal = {INJURY PREVENTION},
	volume = {25},
	unique-id = {34185177},
	issn = {1353-8047},
	year = {2019},
	eissn = {1475-5785},
	pages = {236-241}
}

@mastersthesis{MTMT:30630689,
	title = {Exponential Diophantine Equations and Representation Problems},
	url = {https://m2.mtmt.hu/api/publication/30630689},
	author = {Bertók, Csanád},
	publisher = {University of Debrecen},
	unique-id = {30630689},
	year = {2019}
}

@article{MTMT:30729832,
	title = {Identities for generalized balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/30729832},
	author = {Frontczak, Robert},
	doi = {10.7546/nntdm.2019.25.2.169-180},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {25},
	unique-id = {30729832},
	issn = {1310-5132},
	year = {2019},
	eissn = {2367-8275},
	pages = {169-180}
}

@article{MTMT:30404453,
	title = {On Balancing polynomials},
	url = {https://m2.mtmt.hu/api/publication/30404453},
	author = {Frontczak, Robert},
	doi = {10.12988/ams.2019.812183},
	journal-iso = {APPLIED MATHEMATICAL SCIENCES},
	journal = {APPLIED MATHEMATICAL SCIENCES},
	volume = {13},
	unique-id = {30404453},
	issn = {1312-885X},
	year = {2019},
	eissn = {1314-7552},
	pages = {57-66}
}

@article{MTMT:30625997,
	title = {Identities concerning k-balancing and k-Lucas-balancing numbers of arithmetic indexes},
	url = {https://m2.mtmt.hu/api/publication/30625997},
	author = {Kumar Ray, Prasanta},
	doi = {10.3934/math.2018.2.308},
	journal-iso = {AIMS MATH},
	journal = {AIMS MATHEMATICS},
	volume = {4},
	unique-id = {30625997},
	year = {2019},
	eissn = {2473-6988},
	pages = {308-315}
}

@article{MTMT:30957746,
	title = {TRIANGULAR-LIKE NUMBERS THAT ARE TRIANGULAR},
	url = {https://m2.mtmt.hu/api/publication/30957746},
	author = {Panda, Gopal Krishna and Pradhan, Sushree Sangeeta},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {57},
	unique-id = {30957746},
	issn = {0015-0517},
	abstract = {A balancing-like sequence is a recurrence sequence satisfying the recurrence relation x(n+ 1) = Ax n - x(n-1) with initial terms x 0 = 0 and x 1 = 1 and A > 2 is a positive integer. For any given A, the nth triangular-like number is defined as T-n (A) = x(n)center dot x(n+1)/A. All the triangular-like numbers corresponding to the balancing-like sequence with A = 4 are triangular numbers. However, no other balancing-like sequence enjoys this property.},
	year = {2019},
	pages = {356-362}
}

@article{MTMT:30918070,
	title = {Sums and spectral norms of all almost balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/30918070},
	author = {Tekcan, A},
	journal-iso = {CREAT MATH INFORM},
	journal = {CREATIVE MATHEMATICS AND INFORMATICS},
	volume = {28},
	unique-id = {30918070},
	issn = {1584-286X},
	year = {2019},
	eissn = {1843-441X},
	pages = {203-214}
}

@article{MTMT:30957747,
	title = {Almost balancing, triangular and square triangular numbers},
	url = {https://m2.mtmt.hu/api/publication/30957747},
	author = {Tekcan, Ahmet},
	doi = {10.7546/nntdm.2019.25.1.108-121},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {25},
	unique-id = {30957747},
	issn = {1310-5132},
	abstract = {In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.},
	keywords = {Balancing numbers; Triangular numbers; Almost balancing numbers; Square triangular numbers},
	year = {2019},
	eissn = {2367-8275},
	pages = {108-121}
}

@article{MTMT:3424357,
	title = {A Hasse-type principle for exponential Diophantine equations over number fields and its applications},
	url = {https://m2.mtmt.hu/api/publication/3424357},
	author = {Bertók, Csanád and Hajdu, Lajos},
	doi = {10.1007/s00605-018-1169-8},
	journal-iso = {MONATSH MATH},
	journal = {MONATSHEFTE FUR MATHEMATIK},
	volume = {187},
	unique-id = {3424357},
	issn = {0026-9255},
	year = {2018},
	eissn = {1436-5081},
	pages = {425-436}
}

@article{MTMT:30325980,
	title = {Regularized products over balancing and lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/30325980},
	author = {Dutta, U.K. and Pradhan, S.S. and Ray, P.K.},
	journal-iso = {INDIAN J MATH},
	journal = {INDIAN JOURNAL OF MATHEMATICS},
	volume = {60},
	unique-id = {30325980},
	issn = {0019-5324},
	year = {2018},
	pages = {171-179}
}

@article{MTMT:30331624,
	title = {Sums of Balancing and Lucas-Balancing numbers with binomial coefficients},
	url = {https://m2.mtmt.hu/api/publication/30331624},
	author = {Frontczak, Robert},
	doi = {10.12988/ijma.2018.81067},
	journal-iso = {INT J MATH ANAL},
	journal = {INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS},
	volume = {12},
	unique-id = {30331624},
	issn = {1312-8876},
	year = {2018},
	eissn = {1314-7579},
	pages = {585-594}
}

@article{MTMT:30325981,
	title = {Reciprocal sums of sequences involving balancing and lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/30325981},
	author = {Panda, G.K. and Komatsu, T. and Davala, R.K.},
	journal-iso = {MATH REP},
	journal = {MATHEMATICAL REPORTS},
	volume = {20},
	unique-id = {30325981},
	issn = {1582-3067},
	year = {2018},
	eissn = {1582-3067},
	pages = {201-214}
}

@article{MTMT:27285169,
	title = {Incomplete balancing and lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/27285169},
	author = {Patel, KB and Irmak, N and Kumar, RP and Zaharescu, A},
	journal-iso = {MATH REP},
	journal = {MATHEMATICAL REPORTS},
	unique-id = {27285169},
	issn = {1582-3067},
	year = {2018},
	eissn = {1582-3067}
}

@article{MTMT:27422453,
	title = {On l-th order gap balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/27422453},
	author = {Rout, SS and Thangadurai, R},
	journal-iso = {INTEGERS},
	journal = {INTEGERS},
	volume = {18},
	unique-id = {27422453},
	issn = {1867-0652},
	year = {2018},
	pages = {1-12}
}

@article{MTMT:26743899,
	title = {SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS},
	url = {https://m2.mtmt.hu/api/publication/26743899},
	author = {Gozeri, Gul Karadeniz and Ozkoc, Arzu and Tekcan, Ahmet},
	journal-iso = {UTIL MAT},
	journal = {UTILITAS MATHEMATICA},
	volume = {103},
	unique-id = {26743899},
	issn = {0315-3681},
	year = {2017},
	pages = {217-236}
}

@article{MTMT:27307626,
	title = {On k-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/27307626},
	author = {Ozkoc, Arzu and Tekcan, Ahmet},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {23},
	unique-id = {27307626},
	issn = {1310-5132},
	year = {2017},
	eissn = {2367-8275},
	pages = {38-52}
}

@article{MTMT:26981042,
	title = {CIRCULAR BALANCING NUMBERS},
	url = {https://m2.mtmt.hu/api/publication/26981042},
	author = {Panda, AK and Panda, GK},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {55},
	unique-id = {26981042},
	issn = {0015-0517},
	year = {2017},
	pages = {309-314}
}

@article{MTMT:27016948,
	title = {Period of balancing sequence modulo powers of balancing and Pell Numbers},
	url = {https://m2.mtmt.hu/api/publication/27016948},
	author = {Patel, BK and Dutta, UK and Ray, PK},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {47},
	unique-id = {27016948},
	issn = {1787-5021},
	year = {2017},
	eissn = {1787-6117},
	pages = {177-183}
}

@article{MTMT:27018601,
	title = {Balancing Polynomials and Their Derivatives},
	url = {https://m2.mtmt.hu/api/publication/27018601},
	author = {Ray, PK},
	doi = {10.1007/s11253-017-1386-7},
	journal-iso = {UKR MATH J},
	journal = {UKRAINIAN MATHEMATICAL JOURNAL},
	volume = {69},
	unique-id = {27018601},
	issn = {0041-5995},
	year = {2017},
	eissn = {1573-9376},
	pages = {646-663}
}

@article{MTMT:26924019,
	title = {Greatest Common Divisors of Shifted Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/26924019},
	author = {Ray, Prasanta Kumar and Pradhan, Sushree Sangeeta},
	doi = {10.5269/bspm.v35i3.26093},
	journal-iso = {B SOC PARAN MAT},
	journal = {BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA},
	volume = {35},
	unique-id = {26924019},
	issn = {0037-8712},
	year = {2017},
	eissn = {2175-1188},
	pages = {273-283}
}

@article{MTMT:27319360,
	title = {On the properties of k-balancing and k-Lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/27319360},
	author = {Ray, Prasanta Kumar},
	doi = {10.12697/ACUTM.2017.21.18},
	journal-iso = {ACTA COMM UNI TARTUENSIS MAT},
	journal = {ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA},
	volume = {21},
	unique-id = {27319360},
	issn = {1406-2283},
	year = {2017},
	pages = {259-274}
}

@article{MTMT:30641662,
	title = {t− BALANCING NUMBERS, PELL NUMBERS AND SQUARE TRIANGULAR NUMBERS},
	url = {https://m2.mtmt.hu/api/publication/30641662},
	author = {Tekcan, Ahmet and Yazla, Aziz},
	journal-iso = {ACTA MATH ACAD PAEDAG NYÍREGYH},
	journal = {ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS},
	volume = {33},
	unique-id = {30641662},
	issn = {0866-0174},
	year = {2017},
	eissn = {1786-0091},
	pages = {133-146}
}

@article{MTMT:25915936,
	title = {The period, rank and order of the sequence of balancing numbers modulo m},
	url = {https://m2.mtmt.hu/api/publication/25915936},
	author = {Bijan, Kumar Patel and Prasanta, Kumar Ray},
	journal-iso = {MATH REP},
	journal = {MATHEMATICAL REPORTS},
	volume = {18},
	unique-id = {25915936},
	issn = {1582-3067},
	year = {2016},
	eissn = {1582-3067},
	pages = {395-401}
}

@misc{MTMT:26063944,
	title = {Higher-order identities for balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/26063944},
	author = {Komatsu, T and Ray, PK},
	unique-id = {26063944},
	year = {2016}
}

@misc{MTMT:26063941,
	title = {On several kinds of sums of balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/26063941},
	author = {Komatsu, T and Panda, GK},
	unique-id = {26063941},
	year = {2016}
}

@mastersthesis{MTMT:30641660,
	title = {Some Variants of the Balancing Sequence},
	url = {https://m2.mtmt.hu/api/publication/30641660},
	author = {Panda, Akshaya Kumar},
	unique-id = {30641660},
	year = {2016}
}

@mastersthesis{MTMT:26656701,
	title = {Some Variants of the Balancing Sequence},
	url = {https://m2.mtmt.hu/api/publication/26656701},
	author = {Panda, Akshaya Kumar},
	unique-id = {26656701},
	year = {2016}
}

@article{MTMT:25916005,
	title = {Generating functions for certain balancing and Lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/25916005},
	author = {Ray, Prasanta Kumar and Sahu, Juli},
	journal-iso = {PJM},
	journal = {PALESTINE JOURNAL OF MATHEMATICS},
	volume = {5},
	unique-id = {25916005},
	issn = {2219-5688},
	year = {2016},
	pages = {122-129}
}

@article{MTMT:26161514,
	title = {On the properties of k-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/26161514},
	author = {Ray, Prasanta Kumar},
	doi = {10.1016/j.asej.2016.01.014},
	journal-iso = {AIN SHAMS ENG J},
	journal = {AIN SHAMS ENGINEERING JOURNAL},
	volume = {2016},
	unique-id = {26161514},
	issn = {2090-4479},
	year = {2016},
	eissn = {2090-4495},
	pages = {395-402}
}

@article{MTMT:30641659,
	title = {Balancing and Lucas-Balancing Numbers and Their Application to Cryptography},
	url = {https://m2.mtmt.hu/api/publication/30641659},
	author = {Swain, Sujata and Pratihary, Chidananda and Ray, Prasanta Kumar},
	journal-iso = {ComEngApp},
	journal = {Computer Engineering and Applications Journal},
	volume = {5},
	unique-id = {30641659},
	issn = {2252-4274},
	year = {2016},
	eissn = {2252-5459},
	pages = {29-36}
}

@article{MTMT:3005637,
	title = {Balancing, Pell and square triangular functions},
	url = {https://m2.mtmt.hu/api/publication/3005637},
	author = {Ahmet, Tekcan and Merve, Tayat and Olajos, Péter},
	doi = {10.18514/MMN.2015.1724},
	journal-iso = {MISKOLC MATH NOTES},
	journal = {MISKOLC MATHEMATICAL NOTES},
	volume = {16},
	unique-id = {3005637},
	issn = {1787-2405},
	year = {2015},
	eissn = {1787-2413},
	pages = {1219-1231}
}

@article{MTMT:25916010,
	title = {On some identities for balancing and co-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/25916010},
	author = {Catarino, P and Campos, H and Vasco, P},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {45},
	unique-id = {25916010},
	issn = {1787-5021},
	year = {2015},
	eissn = {1787-6117},
	pages = {11-24}
}

@article{MTMT:25915946,
	title = {Tridiagonal Matrices via k-Balancing Number},
	url = {https://m2.mtmt.hu/api/publication/25915946},
	author = {Ozkoç, A},
	doi = {10.9734/BJMCS/2015/19014},
	journal-iso = {BRIT J MATH COMPUT SCI},
	journal = {BRITISH JOURNAL OF MATHEMATICS & COMPUTER SCIENCE},
	volume = {10},
	unique-id = {25915946},
	issn = {2231-0851},
	year = {2015},
	pages = {1-11}
}

@article{MTMT:25249321,
	title = {Almost balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/25249321},
	author = {Panda, GK and Panda, AK},
	journal-iso = {J IND MATH SOC},
	journal = {JOURNAL OF THE INDIAN MATHEMATICAL SOCIETY},
	volume = {82},
	unique-id = {25249321},
	issn = {0019-5839},
	year = {2015},
	pages = {147-156}
}

@article{MTMT:34183867,
	title = {Balancing and Lucas-balancing sums by matrix methods},
	url = {https://m2.mtmt.hu/api/publication/34183867},
	author = {Ray, P.K.},
	journal-iso = {MATH REP},
	journal = {MATHEMATICAL REPORTS},
	volume = {17},
	unique-id = {34183867},
	issn = {1582-3067},
	abstract = {The balancing number n and the balancer r are solution of a simple Diophantine equation 1 + 2 + ⋯ + (n - 1) = (n + 1) + (n + 2) + ⋯ + (n + r). It is well known that if n is balancing number, then 8n2 + 1 is a perfect square and its positive square root is called a Lucas-balancing number. There is another way to generate balancing numbers and their related number sequences through matrices. The matrix representation indeed, gives many known and new formulas for these numbers. In this paper, two special types of 2 × 2 matrices (Formula presented.) and (Formula presented.) are introduced to derive some balancing and Lucas-balancing sums. Also, these matrices are used to establish some new identities for balancing and Lucas-balancing numbers.},
	keywords = {Balancing numbers; Balancers; Lucas-balancing numbers; Balancing matrices},
	year = {2015},
	eissn = {1582-3067},
	pages = {225-233}
}

@article{MTMT:25426804,
	title = {On the Hadamard Product of Balancing Q^n_B Matrix and Balancing Q^(−n)_B Matrix},
	url = {https://m2.mtmt.hu/api/publication/25426804},
	author = {Ray, PK and Swain, S},
	journal-iso = {TWMS Journal of Applied and Engineering Mathematics},
	journal = {TWMS Journal of Applied and Engineering Mathematics},
	volume = {5},
	unique-id = {25426804},
	issn = {2146-1147},
	year = {2015},
	pages = {201-207}
}

@article{MTMT:26344638,
	title = {Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/26344638},
	author = {Ray, PK and Panda, GK},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {21},
	unique-id = {26344638},
	issn = {1310-5132},
	year = {2015},
	eissn = {2367-8275},
	pages = {56-63}
}

@article{MTMT:25074764,
	title = {k-Gap balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/25074764},
	author = {Rout, S S and Panda, G K},
	doi = {10.1007/s10998-014-0067-7},
	journal-iso = {PERIOD MATH HUNG},
	journal = {PERIODICA MATHEMATICA HUNGARICA},
	volume = {70},
	unique-id = {25074764},
	issn = {0031-5303},
	year = {2015},
	eissn = {1588-2829},
	pages = {109-121}
}

@mastersthesis{MTMT:32195375,
	title = {Some generalizations and properties of balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/32195375},
	author = {Rout, S S},
	unique-id = {32195375},
	year = {2015}
}

@mastersthesis{MTMT:25915939,
	title = {Some Generalizations and Properties of Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/25915939},
	author = {Sudhansu, Sekhar Rout},
	unique-id = {25915939},
	year = {2015}
}

@article{MTMT:2726012,
	title = {Balancing in the direction (1,-1) in the Pascal triangle},
	url = {https://m2.mtmt.hu/api/publication/2726012},
	author = {Belbachir, H and Szalay, László},
	journal-iso = {ARMENIAN J MATH},
	journal = {ARMENIAN JOURNAL OF MATHEMATICS},
	volume = {6},
	unique-id = {2726012},
	year = {2014},
	eissn = {1829-1163},
	pages = {32-41}
}

@article{MTMT:2565342,
	title = {Balancing with binomial coefficients},
	url = {https://m2.mtmt.hu/api/publication/2565342},
	author = {Komatsu, T and Szalay, László},
	doi = {10.1142/S1793042114500523},
	journal-iso = {INT J NUMBER THEORY},
	journal = {INTERNATIONAL JOURNAL OF NUMBER THEORY},
	volume = {10},
	unique-id = {2565342},
	issn = {1793-0421},
	year = {2014},
	eissn = {1793-7310},
	pages = {1729-1742}
}

@article{MTMT:25074766,
	title = {Periodicity of Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/25074766},
	author = {Panda, G K and Rout, S S},
	doi = {10.1007/s10474-014-0427-z},
	journal-iso = {ACTA MATH HUNG},
	journal = {ACTA MATHEMATICA HUNGARICA},
	volume = {143},
	unique-id = {25074766},
	issn = {0236-5294},
	year = {2014},
	eissn = {1588-2632},
	pages = {274-286}
}

@article{MTMT:24410363,
	title = {Balancing sequences of matrices with application to algebra of balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/24410363},
	author = {Prasanta, Kumar Ray},
	journal-iso = {NOTES NUMBER THEORY DISCRETE MATH},
	journal = {NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS},
	volume = {20},
	unique-id = {24410363},
	issn = {1310-5132},
	year = {2014},
	eissn = {2367-8275},
	pages = {49-58}
}

@article{MTMT:23696761,
	title = {Some congruences for balancing and Lucas-balancing numbers and their applications},
	url = {https://m2.mtmt.hu/api/publication/23696761},
	author = {Ray, P K},
	journal-iso = {INTEGERS: ELECT J COMB NUM THEORY},
	journal = {INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY},
	volume = {2014},
	unique-id = {23696761},
	year = {2014},
	eissn = {1553-1732}
}

@article{MTMT:24379873,
	title = {Application of Some Recurrence Relations to Cryptography using Finite State Machine},
	url = {https://m2.mtmt.hu/api/publication/24379873},
	author = {Ray, PK and Dial, GK and Patel, BK},
	journal-iso = {IJCSEE},
	journal = {INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND ELECTRONICS ENGINEERING},
	volume = {2},
	unique-id = {24379873},
	issn = {2320-401X},
	year = {2014},
	eissn = {2320-4028},
	pages = {220-223}
}

@article{MTMT:24379884,
	title = {Generalization of Cassini formulas for balancing and Lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/24379884},
	author = {Ray, PK and Parida, K},
	journal-iso = {MATEMAT STUD},
	journal = {MATEMATYCHNI STUDII},
	volume = {42},
	unique-id = {24379884},
	issn = {1027-4634},
	abstract = {The mathematical identity that connects three adjacent balancing numbers is well known under the name Cassini formula, and is used to establish many important identities involving balancing numbers and their related sequences. This article is an attempt to draw attention to some of the unusual properties of generalized balancing numbers, in particular, to the general- ized Cassini formula.},
	keywords = {Balancing numbers; Lucas-balancing numbers; Cassini formula},
	year = {2014},
	eissn = {2411-0620},
	pages = {9-14}
}

@article{MTMT:24995801,
	title = {Identities involving the terms of a balancing-like sequence via matrices},
	url = {https://m2.mtmt.hu/api/publication/24995801},
	author = {Ray, PK},
	journal-iso = {CASPIAN J APPL MATH ECOL ECON},
	journal = {CASPIAN JOURNAL OF APPLIED MATHEMATICS ECOLOGY AND ECONOMICS},
	volume = {2},
	unique-id = {24995801},
	issn = {1560-4055},
	year = {2014},
	pages = {94-100}
}

@article{MTMT:23744013,
	title = {The Diophantine Equation $8x^{2}-y^{2}+8x(1+t)+(2t+1)^{2}=0$ and $t-$Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/23744013},
	author = {Tekcan, A and Tayat, M and Özbek, ME},
	doi = {10.1155/2014/897834},
	journal-iso = {ISRN COMBINATORICS},
	journal = {ISRN COMBINATORICS},
	volume = {2014},
	unique-id = {23744013},
	year = {2014},
	eissn = {2090-8911},
	pages = {1-5}
}

@article{MTMT:3058935,
	title = {(a,b)-type balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/3058935},
	author = {Liptai, Kálmán},
	journal-iso = {RIMS KOKYUROKU},
	journal = {SURIKAISEKIKENKYUSHO KOKYUROKU / RIMS KOKYUROKU},
	volume = {1874},
	unique-id = {3058935},
	issn = {1880-2818},
	year = {2013},
	pages = {115-124}
}

@article{MTMT:23333064,
	title = {Gap balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/23333064},
	author = {Panda, GK and Rout, SS},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {51},
	unique-id = {23333064},
	issn = {0015-0517},
	year = {2013},
	pages = {239-248}
}

@article{MTMT:25915997,
	title = {New identities for the common factors of balancing and lucas-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/25915997},
	author = {Ray, PK},
	doi = {10.12732/ijpam.v85i3.5},
	journal-iso = {INT J PURE APPL MATH},
	journal = {INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS},
	volume = {85},
	unique-id = {25915997},
	issn = {1311-8080},
	year = {2013},
	pages = {487-494}
}

@article{MTMT:2339000,
	title = {Balansz számok és általánosításaik},
	url = {https://m2.mtmt.hu/api/publication/2339000},
	isbn = {9789633590195},
	author = {Szalay, László},
	journal-iso = {DIMENZIÓK},
	journal = {DIMENZIÓK: MATEMATIKAI KÖZLEMÉNYEK},
	volume = {1},
	unique-id = {2339000},
	issn = {2064-2172},
	year = {2013},
	pages = {11-13}
}

@article{MTMT:1962085,
	title = {Balancing numbers which are products of consecutive integers},
	url = {https://m2.mtmt.hu/api/publication/1962085},
	author = {Tengely, Szabolcs},
	doi = {10.5486/PMD.2013.5654},
	journal-iso = {PUBL MATH DEBRECEN},
	journal = {PUBLICATIONES MATHEMATICAE DEBRECEN},
	volume = {83},
	unique-id = {1962085},
	issn = {0033-3883},
	year = {2013},
	eissn = {2064-2849},
	pages = {197-205}
}

@article{MTMT:22481124,
	title = {t-Balancing Numbers},
	url = {https://m2.mtmt.hu/api/publication/22481124},
	author = {Dash, KK and Ota, RS and Dash, S},
	journal-iso = {INT J CONTEMP MATH SCI},
	journal = {INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES},
	volume = {7},
	unique-id = {22481124},
	issn = {1312-7586},
	year = {2012},
	eissn = {1314-7544},
	pages = {1999-2012}
}

@article{MTMT:23174366,
	title = {Sequence $t$-balancing numbers},
	url = {https://m2.mtmt.hu/api/publication/23174366},
	author = {K K, Dash and R S, Ota},
	journal-iso = {INT J CONTEMP MATH SCI},
	journal = {INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES},
	volume = {7},
	unique-id = {23174366},
	issn = {1312-7586},
	year = {2012},
	eissn = {1314-7544},
	pages = {2305-2310}
}

@article{MTMT:2341471,
	title = {About the equation $B_m^{(a,b)}=f(x)$},
	url = {https://m2.mtmt.hu/api/publication/2341471},
	author = {Liptai, Kálmán and Olajos, Péter},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {40},
	unique-id = {2341471},
	issn = {1787-5021},
	year = {2012},
	eissn = {1787-6117},
	pages = {47-55}
}

@article{MTMT:1976364,
	title = {A (2,1) típusú balansz számokról},
	url = {https://m2.mtmt.hu/api/publication/1976364},
	author = {Olajos, Péter},
	journal-iso = {GÉP},
	journal = {GÉP},
	volume = {63},
	unique-id = {1976364},
	issn = {0016-8572},
	year = {2012},
	pages = {59-62}
}

@article{MTMT:1781112,
	title = {Balancing with Fibonacci powers},
	url = {https://m2.mtmt.hu/api/publication/1781112},
	author = {Behera, A and Liptai, Kálmán and Panda, G K and Szalay, László},
	journal-iso = {FIBONACCI QUART},
	journal = {FIBONACCI QUARTERLY},
	volume = {49},
	unique-id = {1781112},
	issn = {0015-0517},
	abstract = {The Diophantine equation F1k + F2k + ⋯ + Fn-1k = Fn+1l + Fn+2l + ⋯ + Fn+rl in positive integers n,r,k,l with n ≥ 2 is studied where F n is the nth term of the Fibonacci sequence.},
	year = {2011},
	pages = {28-33}
}

@mastersthesis{MTMT:21343670,
	title = {Balansz számok általánosításai},
	url = {https://m2.mtmt.hu/api/publication/21343670},
	author = {Liptai, Kálmán},
	unique-id = {21343670},
	year = {2011}
}