3 papers
math.CO2019
Lattice paths and branched continued fractions. II. Multivariate Lah polynomials and Lah symmetric functions
Mathias Pétréolle, Alan D. Sokal
We introduce the generic Lah polynomials , which enumerate unordered forests of increasing ordered trees with a weight for each vertex with children. We show…
math.CO2018
Lattice paths and branched continued fractions: An infinite sequence of generalizations of the Stieltjes--Rogers and Thron--Rogers polynomials, with coefficientwise Hankel-total positivity
Mathias Pétréolle, Alan D. Sokal, Bao-Xuan Zhu
We define an infinite sequence of generalizations, parametrized by an integer , of the Stieltjes--Rogers and Thron--Rogers polynomials; they arise as the power-series expa…
math.CO2015
A Nekrasov-Okounkov type formula for type C
Mathias Pétréolle
In 2008, Han rediscovered an expansion of powers of Dedekind function due to Nekrasov and Okounkov by using Macdonald's identity in type . In this paper, we obta…