Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Vinet, L. | |
| dc.contributor.author | Zhedanov, A. | |
| dc.date.accessioned | 2019-02-15T19:01:01Z | |
| dc.date.available | 2019-02-15T19:01:01Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 42C05; 42C15 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.048 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147742 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. The authors thank the referees and the editors for valuable remarks and suggestions. AZ thanks to the Centre de Recherches Math´ematiques (Universit´e de Montr´eal) for hospitality. The authors would like to thank S. Tsujimoto for stimulating discussions. The research of LV is supported in part by a research grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
