scientific article; zbMATH DE number 2063239
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Publication:4460856
zbMath1058.33017MaRDI QIDQ4460856
Publication date: 29 March 2004
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
(q)-gamma functions, (q)-beta functions and integrals (33D05) Elliptic functions and integrals (33E05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
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Asymptotics of zeros of basic sine and cosine functions ⋮ Proofs for certain \(q\)-trigonometric identities of Gosper ⋮ On Gosper's \(\mathit{\Pi}_q\) and Lambert series identities ⋮ On the Gosper's \(q\)-constant \(\Pi_q\) ⋮ Oscillatory matrix model in Chern-Simons theory and Jacobi-theta determinantal point process ⋮ Proofs for two \(q\)-trigonometric identities of Gosper ⋮ On a theta product of Jacobi and its applications to \(q\)-gamma products ⋮ On \(q\)-analogues for trigonometric identities ⋮ Wallis type formula and a few versions of the number \(\pi\) in \(q\)-calculus ⋮ On some \(\Pi_q\)-identities of Gosper ⋮ Functional definitions for \(q\)-analogues of Eulerian functions and applications ⋮ On certain \(q\)-trigonometric identities analogous to that of Gosper's ⋮ Proofs for certain \(\Pi_q\)-identities of W. Gosper ⋮ Improved \(q\)-exponential and \(q\)-trigonometric functions ⋮ Proof for a \(\Pi_q\)-identity of Gosper ⋮ Proving some identities of Gosper on $q$-trigonometric functions ⋮ Elliptic determinantal process of type A ⋮ Solving some \(q\)-trigonometric conjectures of Gosper ⋮ Proof for a \(q\)-trigonometric identity of Gosper ⋮ Proofs for two Lambert series identities of Gosper ⋮ Some new sums of q-trigonometric and related functions through a theta product of Jacobi ⋮ On series identities of Gosper and integrals of Ramanujan theta function 𝜓(𝑞) ⋮ Duplication formulae involving Jacobi theta functions and Gosper’s 𝑞-trigonometric functions ⋮ Modular proofs of Gosper's identities ⋮ On certain trigonometric identities ⋮ Confirming a $q$-trigonometric conjecture of Gosper
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