q-difference operators for orthogonal polynomials
Abbreviated Journal Title
J. Comput. Appl. Math.
Orthogonal polynomials; q-difference equations; Degree raising and; lowering operators; Stieltjes-Wigert; q-Laguerre; FREUD POLYNOMIALS; LADDER OPERATORS; EQUATIONS; DISCRIMINANTS; Mathematics, Applied
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. (C) 2009 Elsevier B.V. All rights reserved.
Journal of Computational and Applied Mathematics
Article; Proceedings Paper
"q-difference operators for orthogonal polynomials" (2009). Faculty Bibliography 2000s. 1661.