Addition Formula For Big q-Legendre Polynomials From The Quantum Su(2) Group

DOI10.4153/CJM-1995-024-8zbMath0844.33012OpenAlexW2024859890MaRDI QIDQ4846541

H. T. Koelink

Publication date: 22 August 1996

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

Full work available at URL: https://doi.org/10.4153/cjm-1995-024-8

zbMATH Keywords

\(q\)-Krawtchouk polynomialsAl-Salam-Carlitz polynomials\(q\)-Legendre polynomials\(q\)-Charlier polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) 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)

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Spectral analysis and the Haar functional on the quantum \(SU(2)\) group ⋮ Yet another basic analogue of Graf's addition formula