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arXiv · 2409.06499

A note on the Wiman-Valiron inequality

Karl-G. Grosse-Erdmann
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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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Karl-G. Grosse-Erdmann. 2024-09-10. A note on the Wiman-Valiron inequality. https://arxiv.org/abs/2409.06499

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