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Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind

Yan Hong1, Bai-Ni Guo2,*, Feng Qi3

1 College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao, 028043, China
2 School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, 454003, China
3 School of Mathematical Sciences, Tiangong University, Tianjin, 300387, China

* Corresponding Author: Bai-Ni Guo. Email: email
Dedicated to Professor Dr. Mourad E. H. Ismail at University of Central Florida in USA

(This article belongs to the Special Issue: Trend Topics in Special Functions and Polynomials: Theory, Methods, Applications and Modeling)

Computer Modeling in Engineering & Sciences 2021, 129(1), 409-423. https://doi.org/10.32604/cmes.2021.016431

Abstract

In the paper, by virtue of a general formula for any derivative of the ratio of two differentiable functions, with the aid of a recursive property of the Hessenberg determinants, the authors establish determinantal expressions and recursive relations for the Bessel zeta function and for a sequence originating from a series expansion of the power of modified Bessel function of the first kind.

Keywords

Determinantal representation; recursive relation; series expansion; first kind modified Bessel function; Bessel zeta function; Pochhammer symbol; gamma function; Hessenberg determinant

Cite This Article

APA Style
Hong, Y., Guo, B., Qi, F. (2021). Determinantal expressions and recursive relations for the bessel zeta function and for a sequence originating from a series expansion of the power of modified bessel function of the first kind. Computer Modeling in Engineering & Sciences, 129(1), 409–423. https://doi.org/10.32604/cmes.2021.016431
Vancouver Style
Hong Y, Guo B, Qi F. Determinantal expressions and recursive relations for the bessel zeta function and for a sequence originating from a series expansion of the power of modified bessel function of the first kind. Comput Model Eng Sci. 2021;129(1):409–423. https://doi.org/10.32604/cmes.2021.016431
IEEE Style
Y. Hong, B. Guo, and F. Qi, “Determinantal Expressions and Recursive Relations for the Bessel Zeta Function and for a Sequence Originating from a Series Expansion of the Power of Modified Bessel Function of the First Kind,” Comput. Model. Eng. Sci., vol. 129, no. 1, pp. 409–423, 2021. https://doi.org/10.32604/cmes.2021.016431

Citations




cc Copyright © 2021 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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