On Some Families of Integrals Connected to the Hurwitz Zeta Function
Alexander E Patkowski
TL;DR
This paper derives formulas for a family of integrals involving the Hurwitz zeta function using Fourier transform properties, contributing to the mathematical understanding of special functions.
Contribution
It introduces new integral expressions related to the Hurwitz zeta function utilizing Fourier analysis techniques.
Findings
Derived explicit integral formulas involving the Hurwitz zeta function
Connected Fourier transform properties to special function integrals
Enhanced analytical tools for studying the Hurwitz zeta function
Abstract
Expressions for a family of integrals involving the Hurwitz zeta function are established using standard properties of the Fourier transform.
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