Some families of the Hurwitz-Lerch zeta functions and associated fractional derivative and other integral representations. (English) Zbl 1078.11054

Summary: 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.


11M35 Hurwitz and Lerch zeta functions
26A33 Fractional derivatives and integrals
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