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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Hypergeometric Orthogonal Polynomials and Their q-Analogues
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Hypergeometric Orthogonal Polynomials and Their q-Analogues
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw (Gebundene Ausgabe, Englisch)
Optischer Zustand
Beschreibung
The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am… inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are good friends of mine since - most the beginning of my mathematical career. When I was a fresh PhD student at the Mathematical Centre (now CWI) in Amsterdam, Dick Askey spent a sabbatical there during the academic year 1969–1970. He lectured to us in a very stimulating wayabouthypergeometricfunctionsandclassicalorthogonalpolynomials. Evenb- ter, he gave us problems to solve which might be worth a PhD. He also pointed out to us that there was more than just Jacobi, Laguerre and Hermite polynomials, for instance Hahn polynomials, and that it was one of the merits of the Higher Transc- dental Functions (Bateman project) that it included some newer stuff like the Hahn polynomials (see [198, §10. 23]). Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
30.05.2010
Sprache
Englisch
EAN
9783642050138
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Springer Monographs in Mathematics
Sonderedition
Nein
Autor
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw
Seitenanzahl
578
Einbandart
Gebundene Ausgabe
Schlagwörter
Askey scheme, Eigenvalue, Hypergeometric function, basic hypergeometric functions, differential equation, hypergeometric functions, orthogonal polynomials, q-orthogonal polynomials
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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