Special functions : a graduate text / Richard Beals, Roderick Wong.

Von:

Beals, Richard, 1938- [VerfasserIn]

Mitwirkende(r):

Wong, Roderick, 1944- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Cambridge studies in advanced mathematics ; 126Verlag: Cambridge : Cambridge University Press, 2010Beschreibung: 1 online resource (ix, 456 pages)ISBN:

9780521197977
9781107471634
9780511762543

Schlagwörter:

Genre/Form:

Lehrbuch

Andere physische Formen: 9780521197977. | 9781107471634. | Special functions. 1. publ. Cambridge [u.a.] : Cambridge University Press, 2010. IX, 456 S. | Erscheint auch als: 9780521197977 Druck-AusgabeDDC-Klassifikation:

515/.5

MSC: MSC: *33-02 | 33-01RVK: RVK: SK 680LOC-Klassifikation:

QA351

DOI: DOI: 10.1017/CBO9780511762543Online-Ressourcen:

Zugang im Netz des KIT

Zusammenfassung: The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.Zusammenfassung: Orientation -- Gamma, beta, zeta -- Second-order differential equations -- Orthogonal polynomials -- Discrete orthogonal polynomials -- Confluent hypergeometric functions -- Cylinder functions -- Hypergeometric functions -- Spherical functions -- Asymptotics -- Elliptic functionsPPN: PPN: 883329522Package identifier: Produktsigel: ZDB-20-CTM | BSZ-20-CBO-FR003C | ZDB-20-CBO

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