The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group

From MaRDI portal
Publication:3971232

DOI10.1137/0522018zbMath0738.33012OpenAlexW2236033068MaRDI QIDQ3971232

Koornwinder, Tom H.

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1137/0522018



Related Items

Quantum group \(\text{SU}(1,1)\rtimes\mathbb Z_ 2\) and ``super-tensor products, On the quantum group and quantum algebra approach to \(q\)-special functions, The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function, Models of q-algebra representations: Matrix elements of the q-oscillator algebra, Representations of the quantum algebra suq(2) on a real two-dimensional sphere, The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials, Certain inequalities for fractional \((p,q)\)-calculus, Coupling coefficients for tensor product representations of quantum SU(2), Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’, P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups, Models of q-algebra representations: Tensor products of special unitary and oscillator algebras, Finite Mellin transform for \((p,q)\) and symmetric calculus, A continuous function space with a Faber basis., SU q (3) corepresentations and bivariate q-Krawtchouk polynomials, On a Morita equivalence between the duals of quantum \(SU(2)\) and quantum \(\widetilde E(2)\), On projective representations for compact quantum groups, On a correspondence between \(SU_q(2)\), \(\widetilde{E}_q(2)\) and \(\widetilde{SU}_q(1,1)\), Facing linear difference equations through hypergroup methods, Multiple little \(q\)-Jacobi polynomials, Means and Følner condition on polynomial hypergroups, Classical inequalities for \((p, q)\)-calculus on finite intervals, A topological origin of quantum symmetric pairs, Various amenability properties of the \(L^1\)-algebra of polynomial hypergroups and applications, A $q$-Hankel transform associated to the quantum linking groupoid for the quantum $SU(2)$ and $E(2)$ groups, ( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform