Proofs for certain \(\Pi_q\)-identities of W. Gosper
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Publication:2199317
DOI10.1016/j.jmaa.2020.124486zbMath1477.11076OpenAlexW3048449224WikidataQ115188958 ScholiaQ115188958MaRDI QIDQ2199317
Publication date: 16 September 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124486
Theta series; Weil representation; theta correspondences (11F27) (q)-gamma functions, (q)-beta functions and integrals (33D05)
Related Items (4)
On Gosper's \(\mathit{\Pi}_q\) and Lambert series identities ⋮ On certain \(q\)-trigonometric identities analogous to that of Gosper's ⋮ Proof for a \(\Pi_q\)-identity of Gosper ⋮ Modular proofs of Gosper's identities
Cites Work
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- An addition formula for the Jacobian theta function and its applications
- Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
- On the Gosper's \(q\)-constant \(\Pi_q\)
- Duplication formulae involving Jacobi theta functions and Gosper’s 𝑞-trigonometric functions
- Elliptic Functions and the Appell Theta Functions
- On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
- Proving some identities of Gosper on $q$-trigonometric functions
- On Some Modular Equations of Degree 5
- On series identities of Gosper and integrals of Ramanujan theta function 𝜓(𝑞)
- Residue theorem and theta function identities
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