A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function

The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.

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Autores principales:	Robert Reynolds, Allan Stauffer
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	Lerch function double integral Catalan’s constant Aprey’s constant Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/923024447c5a48aa90e76dfd9ae7a813
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spelling	oai:doaj.org-article:923024447c5a48aa90e76dfd9ae7a8132021-11-25T19:05:46ZA Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function10.3390/sym131119832073-8994https://doaj.org/article/923024447c5a48aa90e76dfd9ae7a8132021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1983https://doaj.org/toc/2073-8994The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.Robert ReynoldsAllan StaufferMDPI AGarticleLerch functiondouble integralCatalan’s constantAprey’s constantMathematicsQA1-939ENSymmetry, Vol 13, Iss 1983, p 1983 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Lerch function double integral Catalan’s constant Aprey’s constant Mathematics QA1-939
spellingShingle	Lerch function double integral Catalan’s constant Aprey’s constant Mathematics QA1-939 Robert Reynolds Allan Stauffer A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
description	The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants. All the results in this work are new.
format	article
author	Robert Reynolds Allan Stauffer
author_facet	Robert Reynolds Allan Stauffer
author_sort	Robert Reynolds
title	A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
title_short	A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
title_full	A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
title_fullStr	A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
title_full_unstemmed	A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function
title_sort	double logarithmic transform involving the exponential and polynomial functions expressed in terms of the hurwitz–lerch zeta function
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/923024447c5a48aa90e76dfd9ae7a813
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A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz–Lerch Zeta Function

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