Even compositions of entire functions and related matters
Complex Variables
2007-05-23 v1 Classical Analysis and ODEs
Abstract
We examine when the composition of two entire functions f and g is even, and extend some of our results to cyclic compositions in general. We prove some theorems for the cases when f or g is a polynomial. Two of the key theorems we use are a well-known result of Borel, and a theorem of Baker and Gross concerning when f(p(z))=f(q(z)).
Cite
@article{arxiv.math/9805110,
title = {Even compositions of entire functions and related matters},
author = {Alan L. Horwitz},
journal= {arXiv preprint arXiv:math/9805110},
year = {2007}
}
Comments
13 pages