On the power series of involutory functions
Combinatorics
2023-12-12 v2
Abstract
It is shown that the coefficients of any involutory function represented as a power series can be expressed in terms of multivariable Lah polynomials. This result is based on the fact that any such can be regarded as a (compositional) conjugate of negative identity. Moreover, a constructive proof of this statement is given.
Keywords
Cite
@article{arxiv.2308.02865,
title = {On the power series of involutory functions},
author = {Alfred Schreiber},
journal= {arXiv preprint arXiv:2308.02865},
year = {2023}
}
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9 pages