The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis

Details The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis

2001-09-24

arxiv.org/abs/math/0109185v1

J. Comput. Appl. Math. Vol. 133 (2001) 623--633

Mathematics

Classical Analysis and ODEs

11 pages, 1 figure. Poceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Their App

Scientific paper

Many limits are known for hypergeometric orthogonal polynomials that occur in
the Askey scheme. We show how asymptotic representations can be derived by
using the generating functions of the polynomials. For example, we discuss the
asymptotic representation of the Meixner-Pollaczek, Jacobi, Meixner, and
Krawtchouk polynomials in terms of Laguerre polynomials.

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