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.

引用

页码：81 / 92

页数：12

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