|
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
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
Citation:
Jang Soo Kim, Dennis Stanton, “The Combinatorics of Associated Laguerre Polynomials”, SIGMA, 11 (2015), 039, 12 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1020 https://www.mathnet.ru/eng/sigma/v11/p39
|
Statistics & downloads: |
Abstract page: | 176 | Full-text PDF : | 55 | References: | 22 |
|