@article{MTMT:34083413,
	title = {Infinite divisibility of the Whittaker distribution},
	url = {https://m2.mtmt.hu/api/publication/34083413},
	author = {Assefa, Genet Mekonnen and Baricz, Árpád},
	doi = {10.1090/proc/16562},
	journal-iso = {P AM MATH SOC},
	journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {151},
	unique-id = {34083413},
	issn = {0002-9939},
	year = {2023},
	eissn = {1088-6826},
	pages = {5429-5442}
}

@article{MTMT:34083406,
	title = {Exponential bounds for the logarithmic derivative of Whittaker functions},
	url = {https://m2.mtmt.hu/api/publication/34083406},
	author = {Assefa, Genet Mekonnen and Baricz, Árpád},
	doi = {10.1090/proc/16549},
	journal-iso = {P AM MATH SOC},
	journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {151},
	unique-id = {34083406},
	issn = {0002-9939},
	year = {2023},
	eissn = {1088-6826},
	pages = {4867-4880}
}

@article{MTMT:33678790,
	title = {Probabilistic and Analytical Aspects of the Symmetric and Generalized Kaiser–Bessel Window Function},
	url = {https://m2.mtmt.hu/api/publication/33678790},
	author = {Baricz, Árpád and Pogany, Tibor},
	doi = {10.1007/s00365-023-09627-3},
	journal-iso = {CONSTR APPROX},
	journal = {CONSTRUCTIVE APPROXIMATION},
	volume = {58},
	unique-id = {33678790},
	issn = {0176-4276},
	abstract = {The generalized Kaiser–Bessel window function is defined via the modified Bessel function of the first kind and arises frequently in tomographic image reconstruction. In this paper, we study in details the properties of the Kaiser–Bessel distribution, which we define via the symmetric form of the generalized Kaiser–Bessel window function. The Kaiser–Bessel distribution resembles to the Bessel distribution of McKay of the first type, it is a platykurtic or sub-Gaussian distribution, it is not infinitely divisible in the classical sense and it is an extension of the Wigner’s semicircle, parabolic and n -sphere distributions, as well as of the ultra-spherical (or hyper-spherical) and power semicircle distributions. We deduce the moments and absolute moments of this distribution and we find its characteristic and moment generating function in two different ways. In addition, we find its cumulative distribution function in three different ways and we deduce a recurrence relation for the moments and absolute moments. Moreover, by using a formula of Ismail and May on quotient of modified Bessel functions of the first kind, we deduce a closed-form expression for the differential entropy. We also prove that the Kaiser–Bessel distribution belongs to the family of log-concave and geometrically concave distributions, and we study in details the monotonicity and convexity properties of the probability density function with respect to the argument and each of the parameters. In the study of the monotonicity with respect to one of the parameters we complement a known result of Gronwall concerning the logarithmic derivative of modified Bessel functions of the first kind. Finally, we also present a modified method of moments to estimate the parameters of the Kaiser–Bessel distribution, and by using the classical rejection method we present two algorithms for sampling independent continuous random variables of Kaiser–Bessel distribution. The paper is closed with conclusions and proposals for future works.},
	year = {2023},
	eissn = {1432-0940},
	pages = {713-783}
}

@article{MTMT:33678786,
	title = {On starlikeness of regular Coulomb wave functions},
	url = {https://m2.mtmt.hu/api/publication/33678786},
	author = {Baricz, Árpád and Kumar, Pranav and Singh, Sanjeev},
	doi = {10.1090/proc/16180},
	journal-iso = {P AM MATH SOC},
	journal = {PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY},
	volume = {151},
	unique-id = {33678786},
	issn = {0002-9939},
	keywords = {J-fraction, continued fraction, Coulomb wave functions, starlikeness},
	year = {2023},
	eissn = {1088-6826},
	pages = {2325-2338}
}

@article{MTMT:32813106,
	title = {Asymptotic and numerical aspects of the generalized Marcum function of the second kind},
	url = {https://m2.mtmt.hu/api/publication/32813106},
	author = {Baricz, Árpád and Bisht, Nitin and Singh, Sanjeev and Vijesh, Antony},
	doi = {10.2298/AADM201001008B},
	journal-iso = {APPL ANAL DISCR MATH},
	journal = {APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS},
	volume = {16},
	unique-id = {32813106},
	issn = {1452-8630},
	year = {2022},
	eissn = {1452-8630},
	pages = {202-217}
}

@article{MTMT:32220125,
	title = {Bounds for the generalized Marcum function of the second kind},
	url = {https://m2.mtmt.hu/api/publication/32220125},
	author = {Baricz, Árpád and Bisht, Nitin and Singh, Sanjeev and Vijesh, V. Antony},
	doi = {10.1007/s11139-021-00440-9},
	journal-iso = {RAMANUJAN J},
	journal = {RAMANUJAN JOURNAL},
	volume = {58},
	unique-id = {32220125},
	issn = {1382-4090},
	year = {2022},
	eissn = {1572-9303},
	pages = {1-21}
}

@article{MTMT:32220086,
	title = {Functional Inequalities and Bounds for the Generalized Marcum Function of the Second Kind},
	url = {https://m2.mtmt.hu/api/publication/32220086},
	author = {Baricz, Árpád and Bisht, Nitin and Singh, Sanjeev and Vijesh, V. Antony},
	doi = {10.1007/s00025-021-01343-3},
	journal-iso = {RES MATHEM},
	journal = {RESULTS IN MATHEMATICS},
	volume = {76},
	unique-id = {32220086},
	issn = {1422-6383},
	year = {2021},
	eissn = {1420-9012}
}

@article{MTMT:32220084,
	title = {The generalized Marcum function of the second kind: Monotonicity patterns and tight bounds},
	url = {https://m2.mtmt.hu/api/publication/32220084},
	author = {Baricz, Árpád and Bisht, Nitin and Singh, Sanjeev and Antony Vijesh, V.},
	doi = {10.1016/j.cam.2020.113093},
	journal-iso = {J COMPUT APPL MATH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	volume = {382},
	unique-id = {32220084},
	issn = {0377-0427},
	year = {2021},
	eissn = {1879-1778}
}

@article{MTMT:31808400,
	title = {Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals},
	url = {https://m2.mtmt.hu/api/publication/31808400},
	author = {Baricz, Árpád and Jankov Maširević, Dragana and Pogany, Tibor},
	doi = {10.3390/math9020129},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {9},
	unique-id = {31808400},
	year = {2021},
	eissn = {2227-7390},
	pages = {129-141},
	orcid-numbers = {Jankov Maširević, Dragana/0000-0003-1238-5238; Pogany, Tibor/0000-0002-4635-8257}
}

@article{MTMT:31609652,
	title = {Asymptotic expansions for the radii of starlikeness of normalised Bessel functions},
	url = {https://m2.mtmt.hu/api/publication/31609652},
	author = {Baricz, Árpád and Nemes, Gergő},
	doi = {10.1016/j.jmaa.2020.124624},
	journal-iso = {J MATH ANAL APPL},
	journal = {JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS},
	volume = {494},
	unique-id = {31609652},
	issn = {0022-247X},
	year = {2021},
	eissn = {1096-0813},
	orcid-numbers = {Nemes, Gergő/0000-0003-0499-7832}
}