Characterizations of Continuous and Discrete q-Ultraspherical Polynomials

DOI10.4153/CJM-2010-080-0zbMath1214.33010MaRDI QIDQ3073403

Josef Obermaier, Mourad E. H. Ismail

Publication date: 11 February 2011

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-difference operatorAskey-Wilson operatorcontinuous \(q\)-ultraspherical polynomialsbig \(q\)-Jacobi polynomialsdiscrete \(q\)-ultraspherical polynomialsrecursion coefficients

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Characterizations of ultraspherical polynomials and their $q$-analogues ⋮ Expansions and characterizations of sieved random walk polynomials ⋮ Connection relations and characterizations of orthogonal polynomials

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