The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis

被引：11
|
作者：
Temme, NM
López, JL
机构：
[1] CWI, NL-1090 GB Amsterdam, Netherlands
[2] Univ Publ Navarra, Dpto Matemat & Informat, Pamplona 31006, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 133卷 / 1-2期
关键词：
Askey scheme; hypergeometric orthogonal polynomials; asymptotic analysis;
D O I：
10.1016/S0377-0427(00)00683-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：623 / 633
页数：11
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