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FURTHER EXPANSION FORMULAS FOR A CLASS OF GENERALIZED HURWITZ-LERCH ZETA FUNCTIONS OBTAINED BY MEANS OF A NEW LEIBNIZ RULE FOR FRACTIONAL DERIVATIVES

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The aim of this paper is to make use of a new generalized Leibniz rule for fractional derivatives obtained recently by Tremblay et al. [Tremblay, Gaboury and Fugere, A new Leibniz rule and its integral analogue for fractional derivatives, Integral Transforms Spec. Funct. 24 (2013), 111-128] by means of a representation based on the Pochhammer's contour of integration for fractional derivatives in order to derive new expansion formulas for several families of the Hurwitz- Lerch zeta function. Special cases are also given.

Abstract

The aim of this paper is to make use of a new generalized Leibniz rule for fractional derivatives obtained recently by Tremblay et al. [Tremblay, Gaboury and Fugere, A new Leibniz rule and its integral analogue for fractional derivatives, Integral Transforms Spec. Funct. 24 (2013), 111-128] by means of a representation based on the Pochhammer's contour of integration for fractional derivatives in order to derive new expansion formulas for several families of the Hurwitz- Lerch zeta function. Special cases are also given.

참고문헌 (26)

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