亚纯函数的无界前分量的不存在性

Q2 Mathematics

Journal of Mathematics of Kyoto University Pub Date : 2007-11-20 DOI:10.1215/KJM/1248983027

Zheng Jian-Hua, P. Niamsup

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引用次数: 0

摘要

本文研究了超越亚纯函数不存在无界法头分量的充分条件，并将整个函数的一些结果推广到亚纯函数。实际上，我们主要讨论亚纯函数的无界漫游域的不存在性。对于有限多个亚纯函数的复合，其中至少有一个是超越的，也可以根据本文的论证来研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Non-existence of unbounded fatou components of a meromorphic function

This paper is devoted to study of sufficient conditions under which a transcendental meromorphic function has no unbounded Fatou components and to extension of some results for entire functions to meromorphic functions. Actually, we shall mainly discuss non-existence of unbounded wandering domains of a meromorphic function. The case for a composition of finitely many meromorphic functions with at least one of them being transcendental can be also investigated in terms of the argument of this paper.

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来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.