Lagrange inversion and combinatorial species with uncountable color palette
Mathematical Physics
2021-02-15 v1 Combinatorics
math.MP
Abstract
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancellations that take place between the two aforementioned formulas and draw connections with similar approaches in a range of applications.
Cite
@article{arxiv.2008.10862,
title = {Lagrange inversion and combinatorial species with uncountable color palette},
author = {Sabine Jansen and Tobias Kuna and Dimitrios Tsagkarogiannis},
journal= {arXiv preprint arXiv:2008.10862},
year = {2021}
}