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dc.contributor.author |
Kim, J.S. |
|
dc.contributor.author |
Stanton, D. |
|
dc.date.accessioned |
2019-02-12T21:01:04Z |
|
dc.date.available |
2019-02-12T21:01:04Z |
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dc.date.issued |
2015 |
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dc.identifier.citation |
The 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.issn |
1815-0659 |
|
dc.identifier.other |
2010 Mathematics Subject Classification: 05E35; 05A15 |
|
dc.identifier.other |
DOI:10.3842/SIGMA.2015.039 |
|
dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/147020 |
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dc.description.abstract |
The 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.sponsorship |
This 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.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 |
The Combinatorics of Associated Laguerre Polynomials |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
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