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A note on the Wiman-Valiron inequality

2024/09/10 by Karl‐G. Grosse‐Erdmann, Grosse-Erdmann, Karl-G.
Mathematics · #Mathematics and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2409.06499

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.

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