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Divided difference operators and classical orthogonal polynomials

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Publication:910535
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DOI10.1216/RMJ-1989-19-1-33zbMath0696.33008MaRDI QIDQ910535

Richard Askey

Publication date: 1989

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

divided difference operator


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special functions (33E99)


Related Items

On classical orthogonal polynomials, Characterization of the Dunkl-classical symmetric orthogonal polynomials, A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications, Inversion problems in the \(q\)-Hahn tableau, Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator, Connection formulas and representations of Laguerre polynomials in terms of the action of linear differential operators, On some operators varying the dimensional parameters of d-orthogonality, Unnamed Item, Unnamed Item, Characterizations of the symmetric \(T_{(\theta, q)}\)-classical orthogonal \(q\)-polynomials, Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials



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