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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 039, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.039 (Mi sigma1020) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Combinatorics of Associated Laguerre Polynomials

Jang Soo Kima, Dennis Stantonb

a Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea
b School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
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DOI: https://doi.org/10.3842/SIGMA.2015.039
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.
Keywords: associated Laguerre polynomial; moment of orthogonal polynomials, permutation tableau.
Received: January 30, 2015; in final form May 6, 2015; Published online May 11, 2015
Bibliographic databases:
Document Type: Article
MSC: 05E35; 05A15
Language: English
Citation: Jang Soo Kim, Dennis Stanton, “The Combinatorics of Associated Laguerre Polynomials”, SIGMA, 11 (2015), 039, 12 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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