On a theta product of Jacobi and its applications to q-gamma products

Mohamed El Bachraoui, József Sándor

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We give a new proof for a product formula of Jacobi which turns out to be equivalent to a q-trigonometric product which was stated without proof by Gosper. We apply this formula to derive a q-analogue for the Gauss multiplication formula for the gamma function. Furthermore, we give explicit formulas for short products of q-gamma functions.

Original languageEnglish
Pages (from-to)814-826
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Volume472
Issue number1
DOIs
Publication statusPublished - Apr 1 2019

Keywords

  • Jacobi theta functions
  • q-Analogue
  • q-Gamma function
  • q-Trigonometric functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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