An elementary proof of Takagi's theorem on the differential composition of polynomials
Classical Analysis and ODEs
2022-04-19 v1 Complex Variables
Abstract
I give a short and completely elementary proof of Takagi's 1921 theorem on the zeros of a composite polynomial .
Cite
@article{arxiv.2112.04208,
title = {An elementary proof of Takagi's theorem on the differential composition of polynomials},
author = {Alan D. Sokal},
journal= {arXiv preprint arXiv:2112.04208},
year = {2022}
}
Comments
LaTeX2e, 4 pages. Accepted for publication in the American Mathematical Monthly