Name
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. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.cam.2009.02.044 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
general representation,orthogonal polynomial,indeterminate moment problem,solution basis,order q-difference equation,q-ladder operator approach,q-laguerre polynomial,order q-difference operator,second order,orthogonal polynomials,moment problem,laguerre polynomial | Wilson polynomials,Algebra,Orthogonal polynomials,Classical orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Gegenbauer polynomials,Jacobi polynomials,Hahn polynomials,Mathematics,Difference polynomials | Journal |
Volume | Issue | ISSN |
233 | 3 | 0377-0427 |
Citations | PageRank | References |
2 | 0.76 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mourad E. H. Ismail | 1 | 75 | 25.95 |
| Plamen Simeonov | 2 | 42 | 9.49 |