Factorization of meromorphic functions and some open problems
Factorization of meromorphic functions and some open problems
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DOI：
10.1007/bfb0096825
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发表时间：
1977
期刊：
影响因子：
--
通讯作者：
F. Gross
中科院分区：
文献类型：
--
作者：
F. Gross
因式分解理论基本上是研究如何将给定的亚纯函数写成其他亚纯函数的合成。也就是说，给定一个亚纯函数f，我们感兴趣的是有多少种方法可以表示为f= fl f2“”fn”许多作者研究了这个问题的各个方面，并在不同程度上对这个问题做出了贡献。关于这些贡献的简要讨论以及参考书目可以在[14]中找到。我们的主要目标有两个。首先，简要介绍因式分解的最新历史，包括一些迄今为止未发表的材料，其次，确定什么似乎是一些关于因式分解的更有趣的未回答的问题。
Factorization theory is basically a study of the ways in which a given meromorphic function can be written as a composition of other meromorphic functions. That is, given a meromorphic function f, we are interested in how many ways it can be expressed in the form f= fl f2'"" fn" Numerous authors have studied various aspects of this problem and have contributed in varying degrees to the subject. A brief discussion concerning these contributions as well as a bibliography can be found in [14]. Our primary objective here is twofold. Firstly, to give a brief updated history of factorization, including some hitherto unpublished material and secondly, to identify what appear to be some of the more interesting unanswered questions on factorization.