New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions | Zendy

H. M. Srivastava | Zendy; Sébastien Gaboury | Zendy

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New Expansion Formulas for a Family of theλ-Generalized Hurwitz-Lerch Zeta Functions

Author(s) -

H. M. Srivastava,

Sébastien Gaboury

Publication year - 2014

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2014/131067

Subject(s) - mathematics , taylor series , calculus (dental) , algebra over a field , pure mathematics , mathematical analysis , medicine , dentistry

We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some importantfractional calculus theorems such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and thegeneralized chain rule. Several (known or new) special cases are also considered

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