scientific article; zbMATH DE number 1504748

zbMath0973.33008MaRDI QIDQ4502704

George Gasper

Publication date: 21 November 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

double serieshypergeometric functionsfractional integrals\(q\)-fractional integralsbasic hypergeometric functions and series

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) (q)-gamma functions, (q)-beta functions and integrals (33D05) Classical hypergeometric functions, ({}_2F_1) (33C05) Basic hypergeometric integrals and functions defined by them (33D60) Appell, Horn and Lauricella functions (33C65) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (7)

Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\) ⋮ Some curious \(q\)-series expansions and beta integral evaluations ⋮ Matrix models for\(\beta\)-ensembles from Nekrasov partition functions ⋮ Extensions of two \(q\)-series expansions with applications to biorthogonal rational functions ⋮ Extensions of certain classical integrals of Erdélyi for Gauss hypergeometric functions. ⋮ Transmutation kernels for the little \(q\)-Jacobi function transform. ⋮ \(q\)-extensions of certain Erdélyi type integrals

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