Some relations involving generalized Hurwitz-Lerch zeta function obtained by means of fractional derivatives with applications to Apostol-type polynomials

DOI10.1186/1687-1847-2013-361zbMath1347.26021OpenAlexW2152891299WikidataQ59298981 ScholiaQ59298981MaRDI QIDQ324420

Sebastien Gaboury

Publication date: 14 October 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-361

zbMATH Keywords

Riemann zeta functionfractional derivativesgeneralized Taylor expansiongeneralized Apostol-Bernoulli polynomialsgeneralized Apostol-Euler polynomialsgeneralized Hurwitz-Lerch zeta functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fractional derivatives and integrals (26A33) Classical hypergeometric functions, ({}_2F_1) (33C05) Hurwitz and Lerch zeta functions (11M35)

Related Items

Remark on certain transformations for multiple hypergeometric functions ⋮ Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus ⋮ A note on the truncated-exponential based Apostol-type polynomials ⋮ Further results involving a class of generalized Hurwitz-Lerch zeta functions

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