The Combinatorics of Associated Laguerre Polynomials
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2015 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2015
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147020 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609031008354304 |
|---|---|
| author | Kim, J.S. Stanton, D. |
| author_facet | Kim, J.S. Stanton, D. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-11-28T18:44:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147020 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T18:44:14Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kim, J.S. Stanton, D. 2019-02-12T21:01:04Z 2019-02-12T21:01:04Z 2015 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. 1815-0659 2010 Mathematics Subject Classification: 05E35; 05A15 DOI:10.3842/SIGMA.2015.039 https://nasplib.isofts.kiev.ua/handle/123456789/147020 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Combinatorics of Associated Laguerre Polynomials Article published earlier |
| spellingShingle | The Combinatorics of Associated Laguerre Polynomials Kim, J.S. Stanton, D. |
| title | The Combinatorics of Associated Laguerre Polynomials |
| title_full | The Combinatorics of Associated Laguerre Polynomials |
| title_fullStr | The Combinatorics of Associated Laguerre Polynomials |
| title_full_unstemmed | The Combinatorics of Associated Laguerre Polynomials |
| title_short | The Combinatorics of Associated Laguerre Polynomials |
| title_sort | combinatorics of associated laguerre polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147020 |
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