仪洪勋
主要研究领域是“复分析”, 包括值分布论及其应用、函数唯一性理论、复域中的微分方程、微分多项式理论、特殊函数论等。
个性化签名
- 姓名:仪洪勋
- 目前身份:
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学术头衔:
博士生导师
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学科领域:
数理逻辑与数学基础
- 研究兴趣:主要研究领域是“复分析”, 包括值分布论及其应用、函数唯一性理论、复域中的微分方程、微分多项式理论、特殊函数论等。
仪洪勋,1944年8月出生,1981年山东大学研究生毕业,获硕士学位,留校任教。1992年晋升教授,1993年被国务院学位委员会批准为博士生导师。现任山东大学关键岗位教授,美国数学会会员,美国《数学评论》特邀评论员。科研成果多次获奖,先后获国家级科技奖励一项,省部级科技奖励六项,均为第一获奖人。被评为山东省十佳职业道德标兵,山东省专业技术拔尖人才,山东省十佳师德标兵。享受国务院政府特殊津贴。
先后主讲了20多门本科生和研究生课程,多次获山东大学优秀教学奖,讲授的《数学分析》课程被评为山东大学优秀基础课教学一等奖。指导了4名博士后、18名博士生(包括两名外国留学生)的学习和研究工作,多次获山东省和山东大学优秀博士学位论文指导奖。山东大学已成为国内复分析的重要研究基地。
先后主持了六项国家级科研基金项目和五项省部级科研基金项目的研究工作,主要研究领域是“复分析”, 包括值分布论及其应用、函数唯一性理论、复域中的微分方程、微分多项式理论、特殊函数论等。在科学出版社出版研究专著《亚纯函数唯一性理论》,该专著被列入《纯粹数学与应用数学专著》丛书。该专著的英文版由世界著名出版社 Kluwer Academic Publishers 出版发行,并被列入“Mathematics and Its Applications”丛书。在《中国科学》、《美国数学会会报》、《数学学报》、《伦敦数学会通报》等国内外著名学术刊物发表了 100 多篇创造性学术论文(其中54篇论文被 SCI收录, 135篇论文被美国 “Mathematical Reviews” 收录)。
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成果数
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【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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【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
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【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
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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【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 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
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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【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
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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38浏览
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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】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】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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35浏览
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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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