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ON POLYLOGARITHMS, HURWITZ ZETA FUNCTIONS, AND THE KUBERT IDENTITIES
1983This very interesting and rich paper deals with classical analytic functions put in a new light, using modern techniques. It deals with the Hurwitz zeta-function \[ \zeta_{1- s}(x)=\sum^{\infty}_{n=0}(n+x)^{s-1} \] and the Fourier series (vid polylog) \(\ell_ s(x)=\sum e^{2\pi inx}n^{-s}\). Both functions are special cases of Lerch zeta-function. There
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Certain families of series associated with the Hurwitz–Lerch Zeta function
Applied Mathematics and Computation, 2005Junesang Choi
exaly
The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function
Taiwanese Journal of Mathematics, 2011Junesang Choi, Hari M Srivastava
exaly
Discrete limit theorem for Hurwitz zeta-function
2008Вещественный и комплексный ...
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Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter
Siberian Mathematical Journal, 2018Renata Macaitienė, A Laurincikas
exaly
Asymptotics to all orders of the Hurwitz zeta function
Journal of Mathematical Analysis and Applications, 2018Athanassios S Fokas, Arran Fernández
exaly
Integral and computational representations of the extended Hurwitz–Lerch zeta function
Integral Transforms and Special Functions, 2011Tibor K Pogány +2 more
exaly
A non-recursive formula for the higher derivatives of the Hurwitz zeta function
Journal of Mathematical Analysis and Applications, 2015Raffaello Seri
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A NOTE ON THE HURWITZ ZETA FUNCTION
Far East Journal of Mathematical Sciences (FJMS), 2017openaire +1 more source

