Mellin Transform of Logarithm and Quotient Function with Reducible Quartic Polynomial in Terms of the Lerch Function

Mellin Transform of Logarithm and Quotient Function with Reducible Quartic Polynomial in Terms of the Lerch Function

A class of definite integrals involving a quotient function with a reducible polynomial, logarithm and nested logarithm functions are derived with a possible connection to contact problems for a wedge. The derivations are expressed in terms of the Lerch function. Special cases are also derived in te...

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Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Axioms
Subjects:
Mellin transform
definite integral
Lerch function
contour integral
Catalan’s constant
Glaisher’s constant
Online Access:https://www.mdpi.com/2075-1680/10/3/236

Internet

https://www.mdpi.com/2075-1680/10/3/236

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