A note on the Wiman-Valiron inequality

Fuente: arXiv
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Autor principal: Grosse-Erdmann, Karl-G.
Formato: Preprint
Publicado: 2024
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author Grosse-Erdmann, Karl-G.
author_facet Grosse-Erdmann, Karl-G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2409_06499
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A note on the Wiman-Valiron inequality
Grosse-Erdmann, Karl-G.
Complex Variables
30B10, 30D20
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.
title A note on the Wiman-Valiron inequality
topic Complex Variables
30B10, 30D20
url https://arxiv.org/abs/2409.06499