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The Askey Scheme of Orthogonal Polynomials

  • Wim Schoutens
Part of the Lecture Notes in Statistics book series (LNS, volume 146)

Abstract

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.

Keywords

Orthogonal Polynomial Hypergeometric Series Classical Orthogonal Polynomial Hypergeometric Type Wilson Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Wim Schoutens
    • 1
  1. 1.Departement Wiskunde, Faculteit WetenschappenKatholieke Universiteit LeuvenHeverleeBelgium

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