Some formulas related to Hurwitz-Lerch zeta functions

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3 Citations (Scopus)

Abstract

In this paper, we consider multiplication formulas and their inversion formulas for Hurwitz-Lerch zeta functions. Inversion formulas give simple proofs of known results, and also show generalizations of those results. Next, we give a generalization of digamma and gamma functions in terms of Hurwitz-Lerch zeta functions, and consider its properties. In all the sections, various results are always proved by multiplication and inversion formulas.

Original languageEnglish
Pages (from-to)285-302
Number of pages18
JournalRamanujan Journal
Volume21
Issue number3
DOIs
Publication statusPublished - 1 Apr 2010

Keywords

  • Digamma function
  • Gamma function
  • Hurwitz-Lerch zeta functions
  • Transcendental numbers

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