一种四重积分，用hurwitz-lerch zeta函数表示，包含商根的指数对数

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2022-12-29 DOI:10.15826/umj.2022.2.013

Robert Reynolds, Allan Stauffer

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引用次数: 0

摘要

与广义相对论中使用的积分可能的联系，我们使用我们的轮廓积分方法来写一个包含指数函数和商基对数的四重积分的封闭形式解。几乎所有的Hurwitz-Lerch Zeta函数都具有不对称的零分布。这项工作的所有结果都是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 distribution. All the results in this work are new.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks