2000 | OriginalPaper | Buchkapitel
The Askey Scheme of Orthogonal Polynomials
verfasst von : Wim Schoutens
Erschienen in: Stochastic Processes and Orthogonal Polynomials
Verlag: Springer New York
Enthalten in: Professional Book Archive
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The main focus of this book is the relationship between orthogonal polynomials and stochastic processes. In this chapter we review the relevant background of orthogonal polynomials. We start with some preliminaries and introduce the concept of an orthogonal polynomial. After classifying the so-called classical orthogonal polynomials, we describe the Askey scheme. This scheme contains the most important orthogonal polynomials and stresses the limit relations between them.