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

被引：0
|
作者：
Hong Y. [1 ]
Guo B.-N. [2 ]
Qi F. [3 ]
机构：
[1] College of Mathematics and Physics, Inner Mongolia University for Nationalities, Tongliao
[2] School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo
[3] School of Mathematical Sciences, Tiangong University, Tianjin
来源：
Guo, Bai-Ni (bai.ni.guo@gmail.com) | 1600年 / Tech Science Press卷 / 127期
关键词：
Bessel zeta function; Determinantal representation; First kind modified Bessel function; Gamma function; Hessenberg determinant; Pochhammer symbol; Recursive relation; Series expansion;
D O I：
10.32604/CMES.2021.016431
中图分类号：
学科分类号：
摘要：
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. © 2021 Tech Science Press. All rights reserved.
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