Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution
- 作者：Area ; I. ; Godoy ; E. ; Ronveaux ; A. ; Zarzo ; A.
- 关键词：primary 33C25 ; secondary 33C20 ; secondary 05A10 ; Orthogonal polynomials ; Functions of the second kind ; Second-order q-difference equations of hypergeometric type
- 刊名：Journal of Computational and Applied Mathematics
- 出版年：2005
- 期刊代码：72_03770427
- 类别：cp
- 出版时间：January 1, 2005
- 卷：173
- 期：1
- 页码：81-92
- 文件大小：259 K
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.