The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function

Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a,k,β, and γ are general complex numbers. This Mellin transform will be derived in terms of the Le...

Full description

Saved in:
Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/8814756
Tags: Add Tag
No Tags, Be the first to tag this record!