Recurrence Coefficients of a New Generalization of the Meixner Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
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| Creator |
Filipuk, G.
Van Assche, W. |
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| Description |
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.
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| Date |
2019-02-14T16:57:04Z
2019-02-14T16:57:04Z 2011 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 34M55; 33E17; 33C47; 42C05; 64Q30 DOI:10.3842/SIGMA.2011.068 http://dspace.nbuv.gov.ua/handle/123456789/147388 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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