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Article Dans Une Revue Advances in Difference Equations Année : 2014

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

Résumé

Abstract Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al . (Integral Transforms Spec. Funct. 22:487-506, 2011). These expansions are obtained by using some fractional calculus theorems such as the generalized Leibniz rules for the fractional derivatives and the Taylor-like expansions in terms of different functions. Several (known or new) special cases are also considered. MSC: 11M25, 11M35, 26A33, 33C05, 33C60.

Dates et versions

hal-04463999 , version 1 (17-02-2024)

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Hari Srivastava, Sébastien Gaboury, Abdelmejid Bayad. Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus. Advances in Difference Equations, 2014, 2014 (1), pp.169. ⟨10.1186/1687-1847-2014-169⟩. ⟨hal-04463999⟩
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