Linearization formula for the product of associated \(q\)-ultraspherical polynomials

DOI10.1007/s11139-006-9577-0zbMath1137.33315OpenAlexW2041929385MaRDI QIDQ851248

Mizan Rahman, Qazi M. Tariq

Publication date: 17 November 2006

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-9577-0

zbMATH Keywords

3-term recurrence formulaBalanced very-well-poised series

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

• Convolution structures associated with orthogonal polynomials
• Linearization of the product of symmetric orthogonal polynomials
• Nonnegative linearization of the associated \(q\)-ultraspherical polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
• The Associated Askey-Wilson Polynomials
• l 1-Convolution algebras: Representation and factorization
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