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Representations of the quantum algebra ๐‘ ๐‘ข_{๐‘ž}(1,1) and duality of ๐‘ž-orthogonal polynomials

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Publication:5702506
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DOI10.1090/CONM/376/06958zbMath1176.17009OpenAlexW4234750093MaRDI QIDQ5702506

Natig M. Atakishiyev, A. U. Klimyk

Publication date: 1 November 2005

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/376/06958



Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)








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