Recurrence Coefficients of a New Generalization of the Meixner Polynomials

Скорочена інформація про документ
dc.contributor.authorFilipuk, G.
dc.contributor.authorVan Assche, W.
dc.date.accessioned2019-02-14T16:57:04Z
dc.date.available2019-02-14T16:57:04Z
dc.date.issued2011
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationRecurrence 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 34M55; 33E17; 33C47; 42C05; 64Q30
dc.identifier.otherDOI:10.3842/SIGMA.2011.068
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147388
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRecurrence Coefficients of a New Generalization of the Meixner Polynomialsuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
068-Filipuk.pdf
Розмір:
334.89 KB
Формат:
Adobe Portable Document Format
Завантажити

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис:
Завантажити

Колекція

Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік