Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900001 | Journal of Mathematical Analysis and Applications | 2018 | 8 Pages |
Abstract
Gosper in 2001 introduced the functions sinqâ¡z and cosqâ¡z as q-analogues for the trigonometric functions sinâ¡z and cosâ¡z respectively. He stated, but did not prove, many identities involving the functions sinqâ¡z and cosqâ¡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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Mohamed El Bachraoui,