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Hypergeometric Orthogonal Polynomials and Their q-Analogues (Springer Monographs in Mathematics) by Roelof Koekoek, Peter A. Lesky, René F. Swarttouw is a nonfiction available to read on EtoBox.
What is Hypergeometric Orthogonal Polynomials and Their q-Analogues (Springer Monographs in Mathematics) 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 (Springer Monographs in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Roelof Koekoek, Peter A. Lesky, René F. Swarttouw
- Publisher
- Springer Berlin
- Published
- 2010
- Language
- EN
- ISBN
- 9783642050145
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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