指数迭代和伯尔集合

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-03-29 DOI:10.1007/s40315-024-00526-7

David S. Lipham

引用次数: 0

摘要

我们确定了指数族 \(\exp(z)+a\)中逸散集的精确伯尔类。我们还证明了其中许多函数的非逸散朱利亚点集合在拓扑上是等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Exponential Iteration and Borel Sets

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Exponential Iteration and Borel Sets

We determine the exact Borel class of escaping sets in the exponential family \(\exp (z)+a\). We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent.

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来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.