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

DOI10.1080/10652469.2010.530128zbMath1242.11065OpenAlexW2111280161MaRDI QIDQ3092992

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Publication date: 12 October 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.530128

zbMATH Keywords

Riemann zeta functionGauss hypergeometric functionanalytic continuationMittag-Leffler type functionsLerch zeta function\(\overline H\)-functionpolylogarithmic functionFox-Wright \(\Psi\)-functiongeneral Hurwitz-Lerch zeta functionMellin-Barnes type integral representations

Mathematics Subject Classification ID

Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Hurwitz and Lerch zeta functions (11M35)

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