A note on the Wiman-Valiron inequality
Complex Variables
2024-09-11 v1
Abstract
The Wiman-Valiron inequality relates the maximum modulus of an analytic function to its Taylor coefficients via the maximum term. After a short overview of the known results, we obtain a general version of this inequality that seems to have been overlooked in the literature so far. We end the paper with an open problem.
Keywords
Cite
@article{arxiv.2409.06499,
title = {A note on the Wiman-Valiron inequality},
author = {Karl-G. Grosse-Erdmann},
journal= {arXiv preprint arXiv:2409.06499},
year = {2024}
}