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The Combinatorics of Associated Laguerre Polynomials
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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The Combinatorics of Associated Laguerre Polynomials
Інший ID:
2010 Mathematics Subject Classification: 05E35; 05A15
DOI:10.3842/SIGMA.2015.039
DOI:10.3842/SIGMA.2015.039
Посилання:
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.
Підтримка:
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.
Дата:
2015
Переглядів:
490
Завантажень:
250
Анотація:
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.
