Triple Integral involving the Product of the Logarithmic and Bessel Functions expressed in terms of the Lerch Function

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4203

Keywords:

Triple integral, Bessel function, Catalan's constant, Ap\'{e}ry's constant, Cauchy integral

Abstract

The aim of the present document is to evaluate a triple integral involving a general class of logarithmic, special function and exponential function. Importance of our resultss lies in the fact that they involve the Bessel function of the First Kind, which
is used in a wide range of areas spanning Science and Engineering. Further we establish some special cases

Author Biographies

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

    York University

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Published

2022-04-30

Issue

Vol. 15 No. 2: (April 2022)

Section

Topology

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How to Cite

Triple Integral involving the Product of the Logarithmic and Bessel Functions expressed in terms of the Lerch Function. (2022). European Journal of Pure and Applied Mathematics, 15(2), 390-396. https://doi.org/10.29020/nybg.ejpam.v15i2.4203