Connection relations and characterizations of orthogonal polynomials

DOI10.1016/J.AAM.2012.04.004zbMath1248.33033OpenAlexW1971563725MaRDI QIDQ444429

Mourad E. H. Ismail, Plamen C. Simeonov

Publication date: 14 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.aam.2012.04.004

zbMATH Keywords

characterizationsMeixner-Pollaczek polynomialsJacobi polynomialsrecurrence relationsAskey-Wilson polynomialsAl-Salam-Chihara polynomialsconnection relationsWilson polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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 ⋮ Convergence of spectral likelihood approximation based on q-Hermite polynomials for Bayesian inverse problems

Cites Work

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