Proof for a \(q\)-trigonometric identity of Gosper

DOI10.1007/s00009-020-01586-4zbMath1443.11043OpenAlexW3082183057MaRDI QIDQ2006919

Hongcun Zhai, Bing He, Fu Li He

Publication date: 12 October 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-020-01586-4

zbMATH Keywords

Jacobi theta functionPtolemy's theorem\(q\)-trigonometric identityRiemann's addition formula

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05)

Related Items (2)

On Gosper's \(\mathit{\Pi}_q\) and Lambert series identities ⋮ On certain \(q\)-trigonometric identities analogous to that of Gosper's

Cites Work

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• On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
• Elliptic determinant evaluations and the Macdonald identities for affine root systems
• Residue theorem and theta function identities

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