| dc.contributor.author |
Alvarez-Nodarse, R |
|
| dc.contributor.author |
Atakishiyeva, MK |
|
| dc.contributor.author |
Atakishiyev, NM |
|
| dc.date.accessioned |
2011-01-22T10:26:33Z |
|
| dc.date.available |
2011-01-22T10:26:33Z |
|
| dc.date.issued |
2002 |
|
| dc.identifier.issn |
1405-213X |
|
| dc.identifier.uri |
http://hdl.handle.net/11154/1475 |
|
| dc.description.abstract |
We study a polynomial sequence of q-extensions of the classical Hermite polynomials H-n(x), which satisfies continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can be expressed either in terms of the q-Laguerre polynomials L-n((alpha))(x |
en_US |
| dc.description.abstract |
q), alpha = +/-1/2, or through the discrete q-Hermite polynomials (h) over tilde (n)(x |
en_US |
| dc.description.abstract |
q) of type II. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.title |
On a q-extension of the Hermite polynomials H-n(x) with the continuous orthogonality property on R |
en_US |
| dc.type |
Article |
en_US |
| dc.identifier.idprometeo |
1632 |
|
| dc.source.novolpages |
8(2):127-139 |
|
| dc.subject.wos |
Mathematics |
|
| dc.description.index |
WoS: SCI, SSCI o AHCI |
|
| dc.subject.keywords |
continuous orthogonality |
|
| dc.subject.keywords |
q-extension of the classical Hermite polynomials |
|
| dc.subject.keywords |
discrete q-Hermite polynomials of type II |
|
| dc.subject.keywords |
Mellin transform |
|
| dc.subject.keywords |
Ramunujan's integral extension of the beta function |
|
| dc.relation.journal |
Boletin De La Sociedad Matematica Mexicana |
|