Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials

被引：7
|
作者：
Ronveaux, A
Godoy, E
Zarzo, A
Area, I
机构：
[1] Univ Vigo, Escuela Tecn Super Ingn Ind & Minas, Dept Matemat Aplicada, Vigo 36200, Spain
[2] Fac Univ Notre Dame Paix, B-5000 Namur, Belgium
[3] Univ Granada, Fac Ciencias, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
[4] Univ Politecn Madrid, Escuela Tecn Super Ingn Ind, Dept Matemat Aplicada, E-28006 Madrid, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 90卷 / 01期
关键词：
orthogonal polynomials; fourth-order difference equation; connection problems;
D O I：
10.1016/S0377-0427(98)00015-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive the fourth-order difference equation satisfied by the first associated of classical orthogonal polynomials of a discrete variable. We give it explicitly for first associated of Hahn polynomials from which can be derived by a limiting process the equation satisfied by first associated of all classical families (continuous and discrete). (C) 1998 Elsevier Science B.V. All rights reserved.
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页码：45 / 50
页数：6
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