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【期刊论文】Meromorphic functions sharing three values
仪洪勋, By Xiao-Min Li and Hong-Xun Yi*
J. Math. Soc. Japan Vol. 56, No.1, 2004,-0001,():
-1年11月30日
In this paper, we prove a result on uniqueness of meromorphic functions sharing three values counting multiplicity. As applications of this, many known results can be improved. Examples are provided to show that the results in this paper are best possible
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【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
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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【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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【期刊论文】ON OSGOOD-YANG'S CONJECTURE AND MUES' CONJECTURE
仪洪勋, HONG-XUN YI and YU-HUA LI
H.-X. Yi and Y.-H. Li Nagoya Math. J. Vol. 170 (2003), 163-173,-0001,():
-1年11月30日
In this paper, we deal with the relation between the characteristic functions of meromorphic functions that share three values CM. As applications of our main results, we shall a rmatively settle two conjectures proposed by Mues and Osgood-Yang.
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【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
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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