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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials / / Richard Askey and James Wilson



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Autore: Askey Richard Visualizza persona
Titolo: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials / / Richard Askey and James Wilson Visualizza cluster
Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1985
©1985
Descrizione fisica: 1 online resource (63 p.)
Disciplina: 515/.55
Soggetto topico: Orthogonal polynomials
Jacobi polynomials
Soggetto genere / forma: Electronic books.
Persona (resp. second.): WilsonJames Arthur <1951->
Note generali: "March 1985, Volume 54, Number 319 (first of 6 numbers)"--Cover.
Nota di bibliografia: Includes bibliographical references.
Nota di contenuto: ""Table of Contents""; ""1. Introduction""; ""Recurrence relation""; ""2. The orthogonality relation""; ""A q�beta integral""; ""The absolute continuous orthogonality""; ""3. A quadratic transformation""; ""4. Some interesting special cases""; ""Continuous q�ultraspherical polynomials""; ""Continuous q�Jacobi polynomials""; ""Continuous q�Laguerre polynomials""; ""Al�Salam�Chihara polynomials""; ""Generalized Tchebycheff polynomials""; ""Continuous q�symmetric Hahn polynomials""; ""q�Meixner�Pollaczek polynomials""; ""5. Divided difference operators""
""Second order difference equation""""Rodrigues type formula""; ""6. Connection coefficients""; ""7. Zeros and inequalitites""; ""8. Remarks""; ""Appendix""; ""References""
Titolo autorizzato: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials  Visualizza cluster
ISBN: 1-4704-0732-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480558603321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 54, Number 319.