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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.

MSC:

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