Quantum algebras, Kravchuk \(q\)-polynomials, and Kravchuk-Meixner \(q\)-function

DOI10.1007/BF01056142zbMath0784.33009OpenAlexW2064275706MaRDI QIDQ1206311

V. A. Groza

Publication date: 1 April 1993

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056142

zbMATH Keywords

\(q\)-orthogonal polynomialsKrawtchouk \(q\)-polynomials

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• Unitary representations of the quantum group \(\text{SU}_q(1,1)\). II: Matrix elements of unitary representations and the basic hypergeometric functions
• Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)
• On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen

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