Extensions of some results of P. Humbert on Bezout's identity classical orthogonal polynomials

被引：5
作者：
Area, I.
Godoy, E. [1 ]
Ronveaux, A.
Zarzo, A.
机构：
[1] Univ Vigo, ETS Ingn Ind, Dept Matemat Aplicada 2, Vigo 36200, Spain
[2] Univ Vigo, ETSE Telecomunicac, Dept Matemat Aplicada 2, Vigo 36200, Spain
[3] Univ Catholique Louvain, Dept Math, Unite Anal Math & Mecan, B-1348 Louvain, Belgium
[4] Univ Granada, Fac Ciencias, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain
[5] Univ Politecn Madrid, Dept Matemat Aplicada, ETS Ingn Ind, E-28040 Madrid, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 196卷 / 01期
关键词：
orthogonal polynomials; Bezout identity; second kind functions;
D O I：
10.1016/j.cam.2005.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Bezout's identity is analyzed in the context of classical orthogonal polynomials solution of a second order differential equation of hypergeometric type. Differential equations, relation with the starting family as well as recurrence relations and explicit representations are given for the Bezout's pair. Extensions to classical orthogonal polynomials of a discrete variable and their q-analogues are also presented. Applications of these results for the representation of the second kind functions are given. (c) 2005 Elsevier B.V. All rights reserved.
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收藏
页码：212 / 228
页数：17
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