Some families of the Hurwitz–Lerch Zeta functions and associated fractional derivative and other integral representations
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摘要
The main object of this paper is to present, in a unified manner, a number of fractional derivative and other integral representations for several general families of the Hurwitz–Lerch Zeta functions. Relevant connections of the results presented here with those obtained in earlier works are also indicated precisely.
论文关键词：Hurwitz–Lerch Zeta functions,Riemann–Liouville fractional derivative,Sum–integral representations,Fox–Wright generalized hypergeometric function,Gauss hypergeometric function,Euler transformation,Eulerian integral of the second kind,Hankel's loop,Mellin–Barnes contour
论文评审过程：Available online 11 December 2003.
论文官网地址：https://doi.org/10.1016/S0096-3003(03)00746-X
