Some new sums of q -trigonometric and related functions through a theta product of Jacobi

Mohamed El Bachraoui, Jozsef Sandor

Research output: Contribution to journalArticlepeer-review

Abstract

We evaluate some finite and infinite sums involving q-trigonometric and q-digamma functions. Upon letting q approach 1, one obtains corresponding sums for the classical trigonometric and the digamma functions. Our key argument is a theta product formula of Jacobi and Gosper's q-trigonometric identities.

Original languageEnglish
Pages (from-to)1803-1817
Number of pages15
JournalInternational Journal of Number Theory
Volume16
Issue number8
DOIs
Publication statusPublished - Sep 1 2020

Keywords

  • q -digamma function
  • q -trigonometric functions
  • transcendence

ASJC Scopus subject areas

  • Algebra and Number Theory

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