A quadruple integral involving the exponential logarithm of quotient radicals in terms of the Hurwitz-Lerch Zeta function

Robert Reynolds, Allan Stauffer

York University

Abstract: 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.

Keywords: quadruple integral, Hhurwitz-Lerch Zeta function, Catalan's constant, Cauchy integral, Glaisher's constant.

Language: English

DOI: 10.15826/umj.2022.2.013

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