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On Factorization and Solutions of q -difference Equations Satisfied by some Classes of Orthogonal Polynomials.
- Source :
- Journal of Difference Equations & Applications; Jul2004, Vol. 10 Issue 8, p729-747, 19p
- Publication Year :
- 2004
-
Abstract
- We derive and factorize the fourth-order q -difference equations satisfied by orthogonal polynomials obtained from some perturbations of the recurrence coefficients of q -classical orthogonal polynomials. These perturbations include the r th associated, the anti-associated, the general co-recursive, co-recursive associated, co-dilated and the general co-modified q -classical orthogonal polynomials. Moreover we find a basis of four linearly independent solutions of these fourth-order q -difference equations and express the modified families in terms of the starting ones. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 10
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 13379687
- Full Text :
- https://doi.org/10.1080/10236190310001641218