The Combinatorics of Associated Laguerre Polynomials

Jang Soo Kim; Dennis Stanton

doi:10.3842/SIGMA.2015.039

The Combinatorics of Associated Laguerre Polynomials

Jang Soo Kim
, Dennis Stanton

Department of Mathematics

University of Minnesota Twin Cities

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Article number	039
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	11
DOIs	https://doi.org/10.3842/SIGMA.2015.039
State	Published - 2015

Keywords

Associated Laguerre polynomial
Moment of orthogonal polynomials
Permuta- tion tableau

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10.3842/SIGMA.2015.039

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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.",

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KW - Associated Laguerre polynomial

KW - Moment of orthogonal polynomials

KW - Permuta- tion tableau

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DO - 10.3842/SIGMA.2015.039

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ER -

The Combinatorics of Associated Laguerre Polynomials

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Keywords

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