The Combinatorics of Associated Laguerre Polynomials

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.

References in corpus (2)

• Total positivity, Grassmannians, and networks
• The combinatorics of associated Hermite polynomials