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ON POLYLOGARITHMS, HURWITZ ZETA FUNCTIONS, AND THE KUBERT IDENTITIES

1983
This 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
openaire   +2 more sources

Certain families of series associated with the Hurwitz–Lerch Zeta function

Applied Mathematics and Computation, 2005
Junesang Choi
exaly  

The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function

Taiwanese Journal of Mathematics, 2011
Junesang Choi, Hari M Srivastava
exaly  

Discrete limit theorem for Hurwitz zeta-function

2008
Вещественный и комплексный ...
openaire   +2 more sources

Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter

Siberian Mathematical Journal, 2018
Renata Macaitienė, A Laurincikas
exaly  

Asymptotics to all orders of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications, 2018
Athanassios S Fokas, Arran Fernández
exaly  

Integral and computational representations of the extended Hurwitz–Lerch zeta function

Integral Transforms and Special Functions, 2011
Tibor K Pogány   +2 more
exaly  

A non-recursive formula for the higher derivatives of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications, 2015
Raffaello Seri
exaly  

A NOTE ON THE HURWITZ ZETA FUNCTION

Far East Journal of Mathematical Sciences (FJMS), 2017
openaire   +1 more source

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