Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641035 | Journal of Computational and Applied Mathematics | 2009 | 13 Pages |
Abstract
In this work we apply a q-ladder operator approach to orthogonal polynomials arising from a class of indeterminate moment problems. We derive general representation of first and second order q-difference operators and we study the solution basis of the corresponding second order q-difference equations and its properties. The results are applied to the Stieltjes-Wigert and the q-Laguerre polynomials.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mourad E.H. Ismail, Plamen Simeonov,