Non-Zero Order of an Extended Temme Integral

نویسندگان

چکیده

A new three-dimensional integral containing f(x,y,z)Iv(x?) is derived where Iv(x?) the Modified Bessel Function of first kind and taken over infinite cubic space 0<x<?,0<y<?,0<z<?. The not easily evaluated for complex ranges parameters. representation in terms Hurwitz–Lerch zeta function, polylogarithm function Riemann functions are evaluated. This yields triple representations fundamental constants that can be derived. Almost all Lerch have an asymmetrical zero distribution.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2022

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym14081573