The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1).
DOI10.1016/S0377-0427(03)00641-1zbMath1054.33014MaRDI QIDQ1426806
Yuri F. Smirnov, Corrado Campigotto
Publication date: 15 March 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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 (4)
Cites Work
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- \(q\)-analogue of the Krawtchouk and Meixner orthogonal polynomials
- Irreducible unitary representations of the Lorentz group
- Clebsch-Gordan coefficients and Racah coefficients for the SU(2) and SU(1,1) groups as the discrete analogues of the Poschl-Teller potential wavefunctions
- Some q-Krawtchouk Polynomials on Chevalley Groups
- On the q-analogue of the hydrogen atom
- Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations
- On non-compact groups I. Classification of non-compact real simple Lie groups and groups containing the Lorentz group
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1).
