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Record Nr. |
UNINA9910788889803321 |
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Autore |
Askey Richard |
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Titolo |
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials / / Richard Askey and James Wilson |
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Pubbl/distr/stampa |
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Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
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©1985 |
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ISBN |
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Descrizione fisica |
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1 online resource (63 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 54, Number 319 |
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Disciplina |
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Soggetti |
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Orthogonal polynomials |
Jacobi polynomials |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"March 1985, Volume 54, Number 319 (first of 6 numbers)"--Cover. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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