New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications. (13th May 2014)

• Record Type: Journal Article
• Authors: Srivastava, H. M.; Gaboury, Sébastien; Tremblay, Richard
• Other Names: Qamar Shamsul Academic Editor.
• Is Part Of: International journal of analysis. Volume 2014(2014)
• Publication Date: 2014-05-13
• Subjects: Mathematical analysis -- Periodicals; 515.05
• DOI: 10.1155/2014/680850
• Languages: English
• ISSNs: 2314-498X

Abstract

Abstract : We derive several new expansion formulas involving an extended multiparameter Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al. (2011). These expansions are obtained by using some fractional calculus methods such as the generalized Leibniz rules, the Taylor-like expansions in terms of different functions, and the generalized chain rule. Several (known or new) special cases are also given.