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2009年03月06日

【期刊论文】Uniqueness of Meromorphic Functions and Question of Gross*

仪洪勋， YI Hong-Xun

SCIENCE IN CHINA (Series A) Vol. 37 No.7 July 1994，-0001，（）：

-1年11月30日

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

meromorphic function,， entire function,， finite set,， uniqueness theorem.，

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2009年03月06日

【期刊论文】A QUESTION OF GROSS AND THE UNIQUENESS OF ENTIRE FUNCTIONS

仪洪勋， HONG-XUN YI

H.-X. Yi Nagoya Math. J. Vol. 138 (1995), 169-177，-0001，（）：

-1年11月30日

摘要

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2009年03月06日

【期刊论文】ON RESULTS OF CZUBIAK-GUNDERSEN AND OSGOOD-YANG

仪洪勋， HONG-XUN YI

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 124, Number 2, February 1996，-0001，（）：

-1年11月30日

摘要

This paper studies the problem of uniqueness of entire functions that share real zeros and real ones. An example is provided to show that a result of Czubiak and Gundersen is not completely correct. Results in this paper correct the result of Czubiak and Gundersen, and also correct a result of Osgood and Yang.

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2009年03月06日

【期刊论文】ON ONE PROBLEM OF UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING SMALL FUNCTIONS

仪洪勋， HONG-XUN YI

Article electronically published on October 17, 2001，-0001，（）：

-1年11月30日

摘要

In this paper, we show that if two non-constant meromorphic functions f and g satisfy E(aj; k; f)=E(aj; k;g) for j = 1; 2;:::; 5, where aj are live distinct small functions with respect to f and g, and k is a positive integer or 1 with k 14, then f g. As a special case this also answers the longstanding problem on uniqueness of meromorphic functions concerning small functions.

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2009年03月06日

【期刊论文】Unicity theorems for meromorphic functions

仪洪勋， By Hong-Xun Yi and Wei-Ran Lu

Proc. Japan Acad., 78, Ser. A (2002)，-0001，（）：

-1年11月30日

摘要

In this paper, we deal with the problem of uniqueness of meromorphic functions sharing three values, and prove some results which are improvements and extensions of many known theorems. Examples are provided to show that the results in this paper are sharp.

Nevanlinna theory， shared value， unicity theorem.，

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