Encyclopedia of special functions: the Askey-Bateman project - Volume 1: Univariate orthogonal polynomials

This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to the Askey-Wilson p...

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Gespeichert in:
Bibliographische Detailangaben
Weitere beteiligte Personen: Ismail, Mourad E. H. 1944- (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Cambridge ; New York, NY Cambridge University Press 2020
Schlagwörter:
Links:https://doi.org/10.1017/9780511979156
https://doi.org/10.1017/9780511979156
https://doi.org/10.1017/9780511979156
https://doi.org/10.1017/9780511979156
Zusammenfassung:This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1 contains most of the material on orthogonal polynomials, from the classical orthogonal polynomials of Hermite, Laguerre and Jacobi to the Askey-Wilson polynomials, which are the most general basic hypergeometric orthogonal polynomials. Separate chapters cover orthogonal polynomials on the unit circle, zeros of orthogonal polynomials and matrix orthogonal polynomials, with detailed results about matrix-valued Jacobi polynomials. A chapter on moment problems provides many examples of indeterminate moment problems. A thorough bibliography rounds off what will be an essential reference
Abstract:Volume 1Univariate orthogonal polynomialsedited by Mourad E. H. Mourad
Volume 2Multivariate special functionsTom H. Koornwinder, Jasper V. Stokman
Beschreibung:Includes bibliographical references and index
Title from publisher's bibliographic system (viewed on 21 Sep 2020)
Umfang:1 Online-Ressource (xii, 388 Seiten)
ISBN:9780511979156
DOI:10.1017/9780511979156