Solving some q-trigonometric conjectures of Gosper

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4 Citations (Scopus)


Gosper in 2001 introduced the functions sinq⁡z and cosq⁡z as q-analogues for the trigonometric functions sin⁡z and cos⁡z respectively. He stated, but did not prove, many identities involving the functions sinq⁡z and cosq⁡z along with some other related functions and constants. In this note we shall provide proofs for some of these identities by means of the classical theory of elliptic functions.

Original languageEnglish
Pages (from-to)610-617
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - Apr 15 2018


  • Elliptic functions
  • Theta function identities
  • q-trigonometric functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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