3 papers
math.CO2026
Non-external Proofs of Lagrange Inversion Formula
Dominik Beck, Piotr MaÄkowiak
The goal of the paper is to present two simple proofs of the Lagrange Inversion Formula for formal power series. Both proofs are non-external in the sense that they use concepts th…
math.AC2025
On Riordan groups involving formal semi-Laurent series and their Lie group structure
Dariusz Bugajewski, Dawid Bugajewski, Xiao-Xiong Gan +1
The main goal of this paper is to introduce and to investigate properties of generalized Riordan arrays and generalized Riordan groups that involve formal semi-Laurent series. In p…
math.AC2025
A note on multiplicative roots of multivariable formal power series
Piotr MaÄkowiak, Motaz Mokatren
Suppose that we are given a formal power series of many variables with coefficients in (or ) and we want to compute its -th (multiplicative) root. As ca…