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

DOI10.1186/1687-1847-2014-169zbMath1343.11078OpenAlexW2121901939WikidataQ59322879 ScholiaQ59322879MaRDI QIDQ738449

Abdelmejid Bayad, Sebastien Gaboury, Hari M. Srivastava

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-169

zbMATH Keywords

Riemann zeta functionfractional derivativesgeneralized Taylor expansiongeneralized Hurwitz-Lerch zeta functionsLeibniz rules

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Other functions defined by series and integrals (33E20) 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)

Related Items (6)

Some further properties of a linear operator associated with the \(\lambda\)-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions ⋮ Certain subclasses of meromorphically univalent functions defined by a linear operator associated with theλ-generalized Hurwitz–Lerch zeta function ⋮ New expansion formulas for a family of the \(\lambda\)-generalized Hurwitz-Lerch zeta functions ⋮ Further results involving a class of generalized Hurwitz-Lerch zeta functions ⋮ Unnamed Item ⋮ Tauberian theorems for Lambert and zeta summability methods in fuzzy number space

Cites Work

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