Ray PK. Application of Chybeshev polynomials in factorizations of balancing and Lucas-balancing numbers. (2012) BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA 0037-8712 2175-1188 30 2 49-56
G K Panda et al. Some links of balancing and cobalancing numbers with Pell and associated Pell numbers. (2011) BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIAE SINICA 0304-9825 6 1 41-72
P. Olajos. Properties of balancing, cobalancing and generalized balancing numbers. (2010) ANNALES MATHEMATICAE ET INFORMATICAE 1787-5021 1787-6117 37 125-138
Journal Article/Survey paper (Journal Article)/Scientific[1944862] [Admin approved]
Pradhan S.S. et al. Sums of balancing-like sequences with binomial coefficients. (2020) Proceedings of the Jangjeon Mathematical Society 1598-7264 23 3 421-432
Rayaguru S. G. et al. A generalization to almost balancing and cobalancing numbers using triangular numbers. (2020) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 26 3 135-148
Ray Prasanta Kumar. A cryptography method based on hyperbolic balancing and Lucas-balancing functions. (2020) PROYECCIONES JOURNAL OF MATHEMATICS 0716-0917 0717-6279 39 1 135-152
Frontczak Robert. Identities for generalized balancing numbers. (2019) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 25 2 169-180
Tekcan Ahmet. Almost balancing, triangular and square triangular numbers. (2019) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 25 1 108-121
Frontczak Robert. Sums of Balancing and Lucas-Balancing numbers with binomial coefficients. (2018) INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS 1312-8876 1314-7579 12 12 585-594
Cs Bertók et al. A Hasse-type principle for exponential Diophantine equations over number fields and its applications. (2018) MONATSHEFTE FUR MATHEMATIK 0026-9255 1436-5081 187 3 425-436
Patel BK et al. Period of balancing sequence modulo powers of balancing and Pell Numbers. (2017) ANNALES MATHEMATICAE ET INFORMATICAE 1787-5021 1787-6117 47 177-183
Ray Prasanta Kumar. On the properties of k-balancing and k-Lucas-balancing numbers. (2017) ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA 1406-2283 21 2 259-274
Ray Prasanta Kumar et al. Greatest Common Divisors of Shifted Balancing Numbers. (2017) BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA 0037-8712 2175-1188 35 3 273-283
Ray Prasanta et al. Generating functions for certain balancing and Lucas-balancing numbers. (2016) Palestine Journal of Mathematics 2219-5688 5 2 122-129
Ray PK et al. Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers. (2015) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 21 56-63
Ray PK et al. ON THE HADAMARD PRODUCT OF BALANCING Qn B MATRIX AND BALANCING Q −n B MATRIX. (2015) TWMS Journal of Applied and Engineering Mathematics 2146-1147 5 2 201-207
Tekcan A. The Diophantine Equation $8x^{2}-y^{2}+8x(1+t)+(2t+1)^{2}=0$ and $t-$Balancing Numbers. (2014) ISRN COMBINATORICS 2090-8911 2014 Article ID 897834 1-5
Ray P. Some congruences for balancing and Lucas-balancing numbers and their applications. (2014) INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 1553-1732 2014
Ray PK. Identities involving the terms of a balancing-like sequence via matrices. (2014) CASPIAN JOURNAL OF APPLIED MATHEMATICS ECOLOGY AND ECONOMICS 1560-4055 2 1 94-100
Prasanta Kumar Ray. Balancing sequences of matrices with application to algebra of balancing numbers. (2014) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 20 1 49-58
Ray PK et al. Application of Some Recurrence Relations to Cryptography using Finite State Machine. (2014) INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND ELECTRONICS ENGINEERING 2320-401X 2320-4028 2 4 220-223
Ray PK. New identities for the common factors of balancing and lucas-balancing numbers. (2013) INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS 1311-8080 85 3 487-494
Tengely Sz. Balancing numbers which are products of consecutive integers. (2013) PUBLICATIONES MATHEMATICAE DEBRECEN 0033-3883 2064-2849 83 1-2 197-205
P. Olajos. Properties of balancing, cobalancing and generalized balancing numbers. (2010) ANNALES MATHEMATICAE ET INFORMATICAE 1787-5021 1787-6117 37 125-138
Journal Article/Survey paper (Journal Article)/Scientific[1944862] [Admin approved]
Ray Prasanta Kumar. A cryptography method based on hyperbolic balancing and Lucas-balancing functions. (2020) PROYECCIONES JOURNAL OF MATHEMATICS 0716-0917 0717-6279 39 1 135-152
Frontczak Robert. Identities for generalized balancing numbers. (2019) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 25 2 169-180
Frontczak Robert. Sums of Balancing and Lucas-Balancing numbers with binomial coefficients. (2018) INTERNATIONAL JOURNAL OF MATHEMATICAL ANALYSIS 1312-8876 1314-7579 12 12 585-594
Patela Bijan Kumar et al. Period of balancing sequence modulo powers of balancing and Pell numbers. (2017) ANNALES MATHEMATICAE ET INFORMATICAE 1787-5021 1787-6117 47 177-183
Ray Prasanta Kumar. On the properties of k-balancing and k-Lucas-balancing numbers. (2017) ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA 1406-2283 21 2 259-274
Ray Prasanta Kumar et al. Greatest Common Divisors of Shifted Balancing Numbers. (2017) BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA 0037-8712 2175-1188 35 3 273-283
Ray Prasanta et al. Identities for balancing numbers using generating function and some new congruence relations. (2016) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 22 4 41-48
Ray Prasanta et al. Generating functions for certain balancing and Lucas-balancing numbers. (2016) Palestine Journal of Mathematics 2219-5688 5 2 122-129
Ray PK et al. Tridiagonal matrices related to subsequences of balancing and Lucas-balancing numbers. (2015) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 21 56-63
Ray P et al. On the Hadamard Product of Balancing Matrix and Balancing Matrix. (2015) TWMS Journal of Applied and Engineering Mathematics 2146-1147 5 2 p. 201
Ray PK. Some congruences for balancing and Lucas-balancing numbers and their applications. (2014) INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 1553-1732 14
Ray PK. Identities involving the terms of a balancing-like sequence via matrices. (2014) CASPIAN JOURNAL OF APPLIED MATHEMATICS ECOLOGY AND ECONOMICS 1560-4055 2 1 94-100
Prasanta Kumar Ray. Balancing sequences of matrices with application to algebra of balancing numbers. (2014) NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS 1310-5132 2367-8275 20 1 49-58
Ray PK. New identities for the common factors of balancing and lucas-balancing numbers. (2013) INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS 1311-8080 85 3 487-494
Tengely Sz. Balancing numbers which are products of consecutive integers. (2013) PUBLICATIONES MATHEMATICAE DEBRECEN 0033-3883 2064-2849 83 1-2 197-205
