Article ID Journal Published Year Pages File Type
8900001 Journal of Mathematical Analysis and Applications 2018 8 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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