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Hypergeometric Orthogonal Polynomials and Their q-Analogues by Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F. is a nonfiction available to read on EtoBox.

What is Hypergeometric Orthogonal Polynomials and Their q-Analogues about?

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 th

Who reads Hypergeometric Orthogonal Polynomials and Their q-Analogues?

Author

Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F.

Publisher

Spektrum Akademischer Verlag. in Springer-Verlag GmbH

Published

2010

Language

EN

ISBN

9786612835155

Category

nonfiction

Subjects

Mathematics, Stem