The Combinatorics of Associated Laguerre Polynomials

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dc.contributor.authorKim, J.S.
dc.contributor.authorStanton, D.
dc.date.accessioned2019-02-12T21:01:04Z
dc.date.available2019-02-12T21:01:04Z
dc.date.issued2015
dc.description.abstractThe explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html. The first author was partially supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF2013R1A1A2061006). The second author was supported by NSF grant DMS-1148634.uk_UA
dc.identifier.citationThe Combinatorics of Associated Laguerre Polynomials / J.S. Kim, D. Stanton // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 17 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 05E35; 05A15
dc.identifier.otherDOI:10.3842/SIGMA.2015.039
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147020
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleThe Combinatorics of Associated Laguerre Polynomialsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік