Confirming a q-trigonometric conjecture of gosper

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11 Citations (Scopus)


We shall confirm a conjecture of Gosper on the q-analogue of the function cos(2z) and we shall give a short proof for his other related identity on the q-analogue of sin(2z) which was recently proved by Mező.

Original languageEnglish
Pages (from-to)1619-1625
Number of pages7
JournalProceedings of the American Mathematical Society
Issue number4
Publication statusPublished - 2018


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

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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