Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials

DOI10.1016/j.exmath.2010.03.003zbMath1204.33008OpenAlexW2092805464MaRDI QIDQ607069

Sumit K. Garg

Publication date: 19 November 2010

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2010.03.003

zbMATH Keywords

integral representationdiscrete measure\(q\)-derivative operator\(q\)-Dunkl operatorAppell orthogonal polynomialssemiclassical form

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)

Related Items (11)

BESSEL POLYNOMIALS AND SOME CONNECTION FORMULAS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS ⋮ Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions ⋮ The \(L\)-Appell symmetric orthogonal polynomials ⋮ Some Appell-Dunkl sequences ⋮ Symmetric \(q\)-Dunkl-coherent pairs ⋮ Jacobi polynomials and some connection formulas in terms of the action of linear differential operators ⋮ HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\) ⋮ Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions ⋮ Characterizations of the symmetric \(T_{(\theta, q)}\)-classical orthogonal \(q\)-polynomials ⋮ Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials

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