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2009年03月06日

【期刊论文】UNIQUENESS THEOREMS FOR MEROMORPHIC FUNCTIONS II

仪洪勋， HONG-XUN YI

Indian J. pure appl. Math., 28 (4): 509-519, April 1997，-0001，（）：

-1年11月30日

This paper studies the problem of uniqueness of meromorphic functions and shows that there exist two finite setsSj (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. The results in this paper improve some theorems given by Nevanlinna7, Brosch8, Yi6 and other authors. As a special case, these results answer an open question posed by Gross5.

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2009年03月06日

【期刊论文】Uniqueness theorems concerning a question of Gross

仪洪勋， By Hong-Xun Yi∗) and Wei-Chuan Lin∗∗)， ∗∗∗)

Proc. Japan Acad., 80, Ser. A (2004)，-0001，（）：

-1年11月30日

摘要

In this paper, we deal with the problem of uniqueness of meromorphic functions concerning one question of Gross, and obtain some results that are improvements of that of former authors. Moreover, the example shows that the result is sharp.

Shared-set， uniqueness， meromorphic function.，

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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

摘要

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】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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2009年03月06日

【期刊论文】On some results of Lahiri ✩

仪洪勋， Hong-Xun Yi

J. Math. Anal. Appl. 284(2003)481-495，-0001，（）：

-1年11月30日

摘要

Using the idea of weighted sharing of values, we study the problem of uniqueness of meromorphic functions that share three values. The results in this paper improve all theorems given by Lahiri in Nagoya Math. J. 161 (2001) 193-206. Examples are provided to show that some results in this paper are sharp.

Meromorphic functions， Weighted sharing of value， Uniqueness theorem

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