Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

DOI10.1137/0524049zbMath0799.33015OpenAlexW1538925376MaRDI QIDQ5287978

Publication date: 9 August 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524049

zbMATH Keywords

little $q$-Jacobi polynomials $q$-Jacobi polynomials $q$-Krawtchouk polynomials big $q$-Jacobi polynomials Askey- Wilson polynomials $SU (2)$ quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other basic hypergeometric functions and integrals in several variables (33D70)

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