The Addition Formula for Continuousq-Legendre Polynomials and Associated Spherical Elements on the $SU(2)$ Quantum Group Related to Askey–Wilson Polynomials

DOI10.1137/S0036141090186114zbMath0844.33011OpenAlexW2023087962MaRDI QIDQ4291159

H. T. Koelink

Publication date: 5 September 1996

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

Full work available at URL: https://doi.org/10.1137/s0036141090186114

zbMATH Keywords

quantum groupsSU(2)addition formulas\(\text{SU}_ q (2)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Applications of Lie groups to the sciences; explicit representations (22E70) 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) Applications of basic hypergeometric functions (33D90)

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