Proving some identities of Gosper on $q$-trigonometric functions
Number Theory
2018-01-12 v1
Abstract
Gosper introduced the functions and as -analogues for the trigonometric functions and respectively. He stated but did not prove a variety of identities involving these two -trigonometric functions. In this paper, we shall use the theory of elliptic functions to prove three formulas from the list of Gosper on the functions and .
Keywords
Cite
@article{arxiv.1801.03654,
title = {Proving some identities of Gosper on $q$-trigonometric functions},
author = {Mohamed El Bachraoui},
journal= {arXiv preprint arXiv:1801.03654},
year = {2018}
}
Comments
Accepted in Proc. Amer. Math. Soc