## Abstract

Gosper introduced the functions sin_{q}z and cos_{q}z as q-analogues for the trigonometric functions sin z and cos z respectively. He stated a variety of identities involving these two q-trigonometric functions along with certain constants denoted by Πqn (n ∈ N). Gosper noticed that all his formulas on these constants have more than two of the Πqn. So, it is natural to raise the question of establishing identities involving only two of the Πqn. In this paper, our main goal is to give examples of such formulas in only two Πqn.

Original language | English |
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Pages (from-to) | 1755-1764 |

Number of pages | 10 |

Journal | Acta Mathematica Sinica, English Series |

Volume | 34 |

Issue number | 11 |

DOIs | |

Publication status | Published - Nov 1 2018 |

## Keywords

- 11F11
- 11F12
- 33E05
- elliptic functions
- q-trigonometric functions
- theta function identities

## ASJC Scopus subject areas

- General Mathematics
- Applied Mathematics

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