关于Wiman-Valiron不等式的注解

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-11-01 DOI:10.1007/s00013-024-02061-2

Karl-G. Grosse-Erdmann

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引用次数: 0

摘要

Wiman-Valiron不等式通过极大项将解析函数的最大模量与其泰勒系数联系起来。在对已知结果的简短概述之后，我们得到了这个不等式的一般版本，到目前为止，在文献中似乎被忽视了。我们以一个未解决的问题结束论文。

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A note on the Wiman–Valiron inequality

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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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.