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On the Fractional Sums of Some Special Functions

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Abstract

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.

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  1. Department of Mathematics, Işık University, 34980, Şile, Istanbul, Turkey

    Banu Ünalmış Uzun

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  1. Banu Ünalmış Uzun
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Correspondence to Banu Ünalmış Uzun.

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Uzun, B.Ü. On the Fractional Sums of Some Special Functions. Results Math 74, 50 (2019). https://doi.org/10.1007/s00025-019-0964-4

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