Double Integral involving the Product of the Bessel Function of the First Kind and Modified Bessel Function of the Second Kind: Derivation and Evaluation

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i3.4239

Keywords:

Bessel functions, double integral, Cauchy integral

Abstract

A double integral whose kernel involves the Bessel functions Kv(xβ) and Jv(yα) is derived. This integral is expressed in terms of the Hurwitz-Lerch zeta function and evaluated for various values of the parameters involved. Some examples are evaluated and expressed in terms of fundamental constants. All the results in this work are new.

Author Biography

  • Robert Reynolds, York University
    I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.

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Published

2022-07-31

Issue

Vol. 15 No. 3: (July 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

Double Integral involving the Product of the Bessel Function of the First Kind and Modified Bessel Function of the Second Kind: Derivation and Evaluation. (2022). European Journal of Pure and Applied Mathematics, 15(3), 856-863. https://doi.org/10.29020/nybg.ejpam.v15i3.4239