亚纯函数的唯一性与Gross问题

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1994-07-20 DOI:10.1360/YA1994-37-7-802

YI Hong-xun

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引用次数: 21

摘要

本文研究了亚纯函数的唯一性问题。证明了存在两个有限集Sj (j= 1,2)，使得任意两个满足Ef(Sj)=Eg(Sj)的非常亚纯函数f和g必须是相同的，从而回答了Gross提出的一个问题。

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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Uniqueness of Meromorphic Functions and Question of Gross

In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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