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Results in Mathematics

, 74:50 | Cite as

On the Fractional Sums of Some Special Functions

  • Banu Ünalmış UzunEmail author
Article
  • 14 Downloads

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.

Keywords

Fractional sum polylogarithm Lerch transcendent Riemann \(\zeta \) function Hurwitz \(\zeta \) function 

Mathematics Subject Classification

Primary 11M35 Secondary 33B15 30B99 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsIşık UniversityŞileTurkey

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