The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis
经典分析与常微分方程
2015-06-26 v1
摘要
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.
引用
@article{arxiv.math/0109185,
title = {The Askey Scheme for Hypergeometric Orthogonal Polynomials Viewed from Asymptotic Analysis},
author = {Nico M. Temme and Jose L. Lopez},
journal= {arXiv preprint arXiv:math/0109185},
year = {2015}
}
备注
11 pages, 1 figure. Poceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and Their Applications, Patras, Greece, September 20--24, 1999.pages, 1 figure. P