scientific article

zbMath0995.33012arXivmath/9912140MaRDI QIDQ2760156

Jasper V. Stokman, H. T. Koelink

Publication date: 22 September 2002

Full work available at URL: https://arxiv.org/abs/math/9912140

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

zbMATH Keywords

limit transitions\(q\)-analog of Askey-schemeAskey-Wilson function transform scheme

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (12)

Charting the 𝑞-Askey scheme ⋮ \(3nj\)-symbols and identities for \(q\)-Bessel functions ⋮ Coupling coefficients for tensor product representations of quantum SU(2) ⋮ On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials ⋮ Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme ⋮ A discrete Fourier transform associated with the affine Hecke algebra ⋮ Transmutation kernels for the little \(q\)-Jacobi function transform. ⋮ On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\) ⋮ Dualities in the q‐Askey Scheme and Degenerate DAHA ⋮ One-parameter orthogonality relations for basic hypergeometric series ⋮ A Paley-Wiener theorem for the Askey-Wilson function transform ⋮ A $q$-Hankel transform associated to the quantum linking groupoid for the quantum $SU(2)$ and $E(2)$ groups

This page was built for publication: