Hypergeometric type q-difference equations:: Rodrigues type representation for the second kind solution

被引：10
|
作者：
Area, I
Godoy, E [1 ]
Ronveaux, A
Zarzo, A
机构：
[1] Univ Vigo, Dept Matemat Aplicada 2, ETS Ingn Ind, Vigo 36200, Spain
[2] Univ Vigo, Dept Matemat Aplicada 2, ETS Telecommun, Vigo 36200, Spain
[3] Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
[4] Univ Granada, Fac Ciencias, Inst Carlos Fis Teor & Comp, Granada, Spain
[5] Univ Politecn Madrid, Dept Matemat Aplicada, ETS Ingn Ind, Madrid, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 173卷 / 01期
关键词：
orthogonal polynomials; functions of the second kind; second-order q-difference equations of hypergeometric type;
D O I：
10.1016/j.cam.2004.02.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Rodrigues type representation for the second kind solution of a second-order q-difference equation of hypergeometric type is given. This representation contains some q-extensions of integrals related with relevant special functions. For these integrals, a general recurrence relation, which only involves the coefficients of the q-difference equation, is also presented. (C) 2004 Elsevier B.V. All rights reserved.
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页码：81 / 92
页数：12
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