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A Quadruple Definite Integral Expressed in Terms of the Lerch Function

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A quadruple integral involving the logarithmic, exponential and polynomial functions is derived in terms of the Lerch function. Special cases of this integral are evaluated in terms of special functions… Click to show full abstract

A quadruple integral involving the logarithmic, exponential and polynomial functions is derived in terms of the Lerch function. Special cases of this integral are evaluated in terms of special functions and fundamental constants. Almost all Lerch functions have an asymmetrical zero-distribution. The majority of the results in this work are new.

Keywords: lerch function; definite integral; quadruple definite; terms lerch; integral expressed

Journal Title: Symmetry
Year Published: 2021

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