Compositional Square Roots of $\exp(x)$ and $1+x^2$
General Mathematics
2025-06-10 v3 Discrete Mathematics
Abstract
Our work began as an effort to understand calculations by Morris & Szekeres (1961) and Walker (1991) regarding fractional iteration.
Cite
@article{arxiv.2504.19999,
title = {Compositional Square Roots of $\exp(x)$ and $1+x^2$},
author = {Steven Finch},
journal= {arXiv preprint arXiv:2504.19999},
year = {2025}
}
Comments
15 pages; typo in v. 2 at base of p. 3 fixed (involving 1.645...)