A QUADRUPLE INTEGRAL INVOLVING THE EXPONENTIAL LOGARITHM OF QUOTIENT RADICALS IN TERMS OF THE HURWITZ-LERCH ZETA FUNCTION

With a possible connection to integrals used in General Relativity, we used our contour integral method  to write a closed form solution for a quadruple integral involving exponential functions and  logarithm of quotient radicals. Almost all Hurwitz–Lerch Zeta functions have an asymmetrical zero dis...

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Bibliographic Details
Published inUral mathematical journal Vol. 8; no. 2; p. 153
Main Authors Reynolds, Robert, Stauffer, Allan
Format Journal Article
LanguageEnglish
Published Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin 29.12.2022
Subjects
quadruple integral, hurwitz-lerch zeta function, catalan's constant, cauchy integral, glaisher's constant
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Summary:With a possible connection to integrals used in General Relativity, we used our contour integral method  to write a closed form solution for a quadruple integral involving exponential functions and  logarithm of quotient radicals. Almost all Hurwitz–Lerch Zeta functions have an asymmetrical zero distribution. All the results in this work are new.
ISSN:2414-3952
2414-3952
DOI:10.15826/umj.2022.2.013