Name
Abstract | ||
|---|---|---|
We give new derivations of properties of the functions of the second kind of the Jacobi, little and big q-Jacobi polynomials, and the symmetric Al-Salam-Chihara polynomials for q1. We also study the Askey-Wilson functions and the Wilson functions of second kind. An integration by parts formula is derived for the Wilson operator in appropriate Hilbert space. In case of undetermined moment problem, we prove that the function of second kind depends on the measure. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.aam.2013.11.002 | Advances in Applied Mathematics |
Keywords | Field | DocType |
appropriate hilbert space,wilson operator,askey-wilson function,symmetric al-salam-chihara polynomial,new derivation,classical polynomial,parts formula,undetermined moment problem,big q-jacobi polynomial,wilson function,raising and lowering operators,primary | Wilson polynomials,Combinatorics,Classical orthogonal polynomials,Orthogonal polynomials,Algebra,Mathematical analysis,Jacobi operator,Jacobi polynomials,Askey–Wilson polynomials,Al-Salam–Chihara polynomials,Difference polynomials,Mathematics | Journal |
Volume | ISSN | Citations |
54, | 0196-8858 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mourad E. H. Ismail | 1 | 75 | 25.95 |
| Mourad E. H. Ismail | 2 | 75 | 25.95 |