识别对数束

IF 0.9 4区数学 Q2 Mathematics

Annales Academiae Scientiarum Fennicae-Mathematica Pub Date : 2019-02-12 DOI:10.5186/aasfm.2020.4543

James Waterman

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引用次数: 1

摘要

我们证明了以简单曲线为界的直接束是对数束，并进一步给出了直接束包含对数束的充分条件。作为这些结果的应用，在Eremenko-Lyubich类中给出了一个函数具有无穷多个直接奇点，但在任何有限值上没有对数奇点的例子。

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Identifying logarithmic tracts

We show that a direct tract bounded by a simple curve is a logarithmic tract and further give sufficient conditions for a direct tract to contain logarithmic tracts. As an application of these results, an example of a function with infinitely many direct singularities, but no logarithmic singularity over any finite value, is shown to be in the Eremenko-Lyubich class.

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来源期刊

Annales Academiae Scientiarum Fennicae-Mathematica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Annales Academiæ Scientiarum Fennicæ Mathematica is published by Academia Scientiarum Fennica since 1941. It was founded and edited, until 1974, by P.J. Myrberg. Its editor is Olli Martio. AASF publishes refereed papers in all fields of mathematics with emphasis on analysis.