The Wilson function transform
| dc.creator | Groenevelt, Wolter | |
| dc.date | 2003-06-30 | |
| dc.date.accessioned | 2026-07-07T07:35:59Z | |
| dc.date.available | 2026-07-07T07:35:59Z | |
| dc.description | Two unitary integral transforms with a very-well poised $_7F_6$-function as a kernel are given. For both integral transforms the inverse is the same as the original transform after an involution on the parameters. The $_7F_6$-function involved can be considered as a non-polynomial extension of the Wilson polynomial, and is therefore called a Wilson function. The two integral transforms are called a Wilson function transform of type I and type II. Furthermore, a few explicit transformations of hypergeometric functions are calculated, and it is shown that the Wilson function transform of type I maps a basis of orthogonal polynomials onto a similar basis of polynomials. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0306424 | |
| dc.identifier | http://arxiv.org/abs/math/0306424 | |
| dc.identifier | Int. Math. Res. Not. 2003, no. 52, 2779--2817 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120278 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | The Wilson function transform | |
| dc.type | text |