A continuous extension of a \(q\)-analogue of the \(9\)-\(j\) symbols and its orthogonality

DOI10.1016/j.aam.2009.11.016zbMath1216.33041OpenAlexW1990958156MaRDI QIDQ534207

Mizan Rahman

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.11.016

zbMATH Keywords

\(q\)-integrals\(q\)-Racah and Askey-Wilson polynomials: \(q\)-analogue of 9-\(j\) symbolsbalanced and very-well-poised hypergeometric seriesorthonormal functions in two continuous variables

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• On discrete orthogonal polynomials of several variables
• A probabilistic origin for a new class of bivariate polynomials
• A \(q\)-analogue of the 9-\(j\) symbols and their orthogonality
• Multivariable \(q\)-Racah polynomials
• Some systems of multivariable orthogonal \(q\)-Racah polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• Some multivariable orthogonal polynomials of the Askey tableau-discrete families
• The Pearson Equation and the Beta Integrals
• Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5

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