English

The Combinatorics of Associated Laguerre Polynomials

Combinatorics 2015-05-12 v2

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

Cite

@article{arxiv.1501.03880,
  title  = {The Combinatorics of Associated Laguerre Polynomials},
  author = {Jang Soo Kim and Dennis Stanton},
  journal= {arXiv preprint arXiv:1501.03880},
  year   = {2015}
}