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періодичних видань НАН України
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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| dc.contributor.author | Filipuk, G. | |
| dc.contributor.author | Van Assche, W. | |
| dc.date.accessioned | 2019-02-14T16:57:04Z | |
| dc.date.available | 2019-02-14T16:57:04Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Recurrence Coefficients of a New Generalization of the Meixner Polynomials / G. Filipuk, W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 34M55; 33E17; 33C47; 42C05; 64Q30 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.068 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147388 | |
| dc.description.abstract | We investigate new generalizations of the Meixner polynomials on the lattice N, on the shifted lattice N+1−β and on the bi-lattice N∪(N+1−β). We show that the coefficients of the three-term recurrence relation for the orthogonal polynomials are related to the solutions of the fifth Painlevé equation PV. Initial conditions for different lattices can be transformed to the classical solutions of PV with special values of the parameters. We also study one property of the Bäcklund transformation of PV. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue “Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/OPSF.html. GF is partially supported by Polish MNiSzW Grant N N201 397937. WVA is supported by Belgian Interuniversity Attraction Pole P6/02, FWO grant G.0427.09 and K.U. Leuven Research Grant OT/08/033. | 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 | Recurrence Coefficients of a New Generalization of the Meixner Polynomials | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
