Hypergeometric Orthogonal Polynomials and Their q-Analogues

Inbunden, Engelska, 2010

Av Roelof Koekoek, Peter A. Lesky, René F. Swarttouw, Rene F. Swarttouw

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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.

Produktinformation

Utgivningsdatum2010-05-30
Mått155 x 235 x 39 mm
Vikt998 g
FormatInbunden
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor578
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
MedarbetareKoornwinder,TomH.
ISBN9783642050138

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Definitions and Miscellaneous Formulas.- Classical orthogonal polynomials.- Orthogonal Polynomial Solutions of Differential Equations.- Orthogonal Polynomial Solutions of Real Difference Equations.- Orthogonal Polynomial Solutions of Complex Difference Equations.- Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations.- Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations.- Hypergeometric Orthogonal Polynomials.- Polynomial Solutions of Eigenvalue Problems.- Classical q-orthogonal polynomials.- Orthogonal Polynomial Solutions of q-Difference Equations.- Orthogonal Polynomial Solutions in q?x of q-Difference Equations.- Orthogonal Polynomial Solutions in q?x+uqx of Real

From the reviews: "The book starts with a brief but valuable foreword by Tom Koornwinder on the history of the classification problem for orthogonal polynomials. ... the ideal text for a graduate course devoted to the classification, and it is a valuable reference, which everyone who works in orthogonal polynomials will want to own." (Warren Johnson, The Mathematical Association of America, August, 2010)