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The Combinatorics of Associated Laguerre Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : permutation tableau. 
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Jang Soo Kim; Dennis Stanton. The Combinatorics of Associated Laguerre Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a38/

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