Proofs for certain conjectures of Gosper on q-trigonometric identities

arxiv(2020)

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摘要
Applying the theory of elliptic functions we establish two Jacobi theta function identities. From these identities we confirm two q-trigonometric identities conjectured by Gosper. As an application, we give a new and simple proof of a Pi_{q}-identity of Gosper.
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关键词
gosper,certain conjectures,identities,proofs,q-trigonometric
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