A Note on a Triple Integral

A closed form expression for a triple integral not previously considered is derived, in terms of the Lerch function. Almost all Lerch functions have an asymmetrical zero-distribution. The kernel of the integral involves the product of the logarithmic, exponential, quotient radical, and polynomial fu...

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Autores principales:	Robert Reynolds, Allan Stauffer
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	triple integral Lerch function Catalan’s constant Apéry’s constant Euler’s constant Glaisher’s constant Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/1b45877391ec427ea15f394a1629be0d
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id	oai:doaj.org-article:1b45877391ec427ea15f394a1629be0d
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spelling	oai:doaj.org-article:1b45877391ec427ea15f394a1629be0d2021-11-25T19:06:22ZA Note on a Triple Integral10.3390/sym131120562073-8994https://doaj.org/article/1b45877391ec427ea15f394a1629be0d2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2056https://doaj.org/toc/2073-8994A closed form expression for a triple integral not previously considered is derived, in terms of the Lerch function. Almost all Lerch functions have an asymmetrical zero-distribution. The kernel of the integral involves the product of the logarithmic, exponential, quotient radical, and polynomial functions. Special cases are derived in terms of fundamental constants; results are summarized in a table. All results in this work are new.Robert ReynoldsAllan StaufferMDPI AGarticletriple integralLerch functionCatalan’s constantApéry’s constantEuler’s constantGlaisher’s constantMathematicsQA1-939ENSymmetry, Vol 13, Iss 2056, p 2056 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	triple integral Lerch function Catalan’s constant Apéry’s constant Euler’s constant Glaisher’s constant Mathematics QA1-939
spellingShingle	triple integral Lerch function Catalan’s constant Apéry’s constant Euler’s constant Glaisher’s constant Mathematics QA1-939 Robert Reynolds Allan Stauffer A Note on a Triple Integral
description	A closed form expression for a triple integral not previously considered is derived, in terms of the Lerch function. Almost all Lerch functions have an asymmetrical zero-distribution. The kernel of the integral involves the product of the logarithmic, exponential, quotient radical, and polynomial functions. Special cases are derived in terms of fundamental constants; results are summarized in a table. All 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 Note on a Triple Integral
title_short	A Note on a Triple Integral
title_full	A Note on a Triple Integral
title_fullStr	A Note on a Triple Integral
title_full_unstemmed	A Note on a Triple Integral
title_sort	note on a triple integral
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/1b45877391ec427ea15f394a1629be0d
work_keys_str_mv	AT robertreynolds anoteonatripleintegral AT allanstauffer anoteonatripleintegral AT robertreynolds noteonatripleintegral AT allanstauffer noteonatripleintegral
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A Note on a Triple Integral

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