Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function

Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function

In this manuscript, the authors derive a double integral whose kernel involves the logarithmic function a polynomial raised to a power and a quotient function expressed it in terms of the Lerch function. All the results in this work are new.

Bibliographic Details
Main Authors: Robert Reynolds, Allan Stauffer
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Symmetry
Subjects:
double integral
Aprey’s constant
Catalan’s constant
Lerch function
Online Access:https://www.mdpi.com/2073-8994/13/9/1708
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spelling doaj-7b1bc8de0a254bc4824240295c0da1aa2021-09-26T01:31:35ZengMDPI AGSymmetry2073-89942021-09-01131708170810.3390/sym13091708Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch FunctionRobert Reynolds0Allan Stauffer1Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J1P3, CanadaDepartment of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, ON M3J1P3, CanadaIn this manuscript, the authors derive a double integral whose kernel involves the logarithmic function a polynomial raised to a power and a quotient function expressed it in terms of the Lerch function. All the results in this work are new.https://www.mdpi.com/2073-8994/13/9/1708double integralAprey’s constantCatalan’s constantLerch function
collection DOAJ
language English
format Article
sources DOAJ
author Robert Reynolds
Allan Stauffer
spellingShingle Robert Reynolds
Allan Stauffer
Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
Symmetry
double integral
Aprey’s constant
Catalan’s constant
Lerch function
author_facet Robert Reynolds
Allan Stauffer
author_sort Robert Reynolds
title Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
title_short Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
title_full Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
title_fullStr Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
title_full_unstemmed Double Integral of Logarithmic and Quotient Rational Functions Expressed in Terms of the Lerch Function
title_sort double integral of logarithmic and quotient rational functions expressed in terms of the lerch function
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-09-01
description In this manuscript, the authors derive a double integral whose kernel involves the logarithmic function a polynomial raised to a power and a quotient function expressed it in terms of the Lerch function. All the results in this work are new.
topic double integral
Aprey’s constant
Catalan’s constant
Lerch function
url https://www.mdpi.com/2073-8994/13/9/1708
work_keys_str_mv AT robertreynolds doubleintegraloflogarithmicandquotientrationalfunctionsexpressedintermsofthelerchfunction
AT allanstauffer doubleintegraloflogarithmicandquotientrationalfunctionsexpressedintermsofthelerchfunction
_version_ 1716868780275007488

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