Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
|
|
| Creator |
Vinet, L.
Zhedanov, A. |
|
| Description |
We introduce the notion of ''hypergeometric'' polynomials with respect to Newtonian bases. We find the necessary and sufficient conditions for the polynomials Pn(x) to be orthogonal. For the special cases where the sets λn correspond to the classical grids, we find the complete solution to these conditions and observe that it leads to the most general Askey-Wilson polynomials and their special and degenerate classes.
|
|
| Date |
2019-02-15T19:01:01Z
2019-02-15T19:01:01Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C05; 42C15 DOI:10.3842/SIGMA.2016.048 http://dspace.nbuv.gov.ua/handle/123456789/147742 |
|
| Language |
en
|
|
| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
|
|
| Publisher |
Інститут математики НАН України
|
|