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instance of

scholarly article

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publication date

4 January 2017

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full work available at URL

http://operator.pmf.ni.ac.rs/www/pmf/publikacije/faac/2015/2015-7-2/faac-7-2-6.pdf

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zbMATH Keywords

Riemann zeta function

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Hurwitz-Lerch zeta function

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associated series and integrals

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series representations

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harmonic numbers

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generating functions

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Euler numbers and Euler polynomials

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Dirichlet $L$-functions

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gamma and psi functions

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generalized Goldbach-Euler sums

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A generalized inverse gausssian distribution with τ-confluent hypergeometric function.

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Series representations for some mathematical constants

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Euler and the Zeta Function

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Reduction and duality of the generalized Hurwitz-Lerch zetas

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On a class of incomplete gamma functions with applications

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Some families of series representations for the Riemann $\zeta(3)$

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Series involving the zeta function and multiple Gamma functions

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A generalization of the Hurwitz - Lerch Zeta function

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Certain families of series associated with the Hurwitz--Lerch zeta function

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Explicit evaluation of Euler and related sums

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Series Involving the Zeta Functions and a Family of Generalized Goldbach–Euler Series

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Multiple gamma and related functions

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New rapidly convergent series representations for $\zeta (2n+1)$

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Limit Representations of Riemann’s Zeta Function

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Q5820721

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Q5827353

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On the zeta function values $\zeta (2k+1)$, $k=1, 2, \dots$

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Q3636089

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Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

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Some Integrals of the Arctangent Function

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Q3562189

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Q3671491

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A class of Hurwitz-Lerch zeta distributions and their applications in reliability

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Q4898656

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New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae

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New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function

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An extended general Hurwitz-Lerch zeta function as a Mathieu $(\mathbf a, \mathbf{\lambda})$-series

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Q4438579

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Q4138813

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Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations

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Q5518575

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Q5669010

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Determinants of Laplacians, the Ray–Singer torsion on lens spaces and the Riemann zeta function

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Q4792594

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Q4680151

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Notes on Riemann's ζ-Function

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Some simple algorithms for the evaluations and representations of the Riemann zeta function at positive integer arguments

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Some formulas for the Bernoulli and Euler polynomials at rational arguments

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Q3189238

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Q3021451

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Further results involving a class of generalized Hurwitz-Lerch zeta functions

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Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus

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A new generalization of the Bernoulli and related polynomials

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Some new families of generalized Euler and Genocchi polynomials

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Some definite integrals associated with the Riemann zeta function

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Q4743083

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Two-sided inequalities for the extended Hurwitz-Lerch zeta function

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Some fractional-calculus results for the $\overline H$-function associated with a class of Feynman integrals

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

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A certain class of rapidly convergent series representations for $\zeta (2n + 1)$

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Q4456698

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Inductive construction of rapidly convergent series representations for ?(2>n> + 1)

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On quantum gauge theories in two dimensions

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Q4792595

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Some series representations of $\zeta(2n+1)$

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Values of the Riemann zeta functions and integrals involving $\log (2\sinh {\theta\over 2})$ and $\log (2\sin {\theta\over 2})$

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

zbMATH Open document ID

1383.11104

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2953247