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On the fractional sums of some special functions. (English) Zbl 07031277
Summary: We obtain new relations involving the Lerch transcendent and establish some closed-form expressions using special functions like the Riemann and Hurwitz zeta functions and fractional sums. We also get some formulae for the specific values of the derivative of Lerch transcendent.
Reviewer: Reviewer (Berlin)
MSC:
11M35 Hurwitz and Lerch zeta functions
33B15 Gamma, beta and polygamma functions
30B99 Series expansions of functions of one complex variable
Software:
Equator
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