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TWO MEROMORPHIC functionS SHARE SOME PAIRS OF small functionS WITH TRUNCATED MULTIPLICITIES

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Acta Mathematica Scientia 2014年第6期34卷 1854-1864页

作者：曹红哲曹廷彬 Department of Mathematics Nanchang University

Using the techniques proposed in [3], we prove that two nonconstant meromorphic functions f and g on C must be linked by a quasi-Mbius transformation if they share some pairs of small functions with more precise tru... 详细信息

关键词： meromorphic function small function truncated multiplicities quasi-Mbius transformation

TWO ENTIRE functionS SHARING FOUR small functionS IN THE SENSE OF _(k))(β,f)=_(k))(β,g)

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Acta Mathematica Scientia 2003年第1期23卷 23-32页

作者：姚卫红 Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 China

This paper proves a result that if two entire functions f(z) and g(z) share four small functions aj(z) (j = 1,2,3,4) in the sense of Ek)(aj, f) = Ek)(aj,g), (j = 1,2,3,4) (k ≥ 11), then there exists f(z) = g(z).

关键词： Meromorphic function entire function small function

The Uniqueness of Meromorphic functions Sharing small functions Dealing with Multiple Values

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Journal of Mathematical Research with Applications 2020年第6期40卷 609-616页

作者： Yang TAN Yinying KONG School of Applied Mathematics Beijing Normal University Research Institute of Innovation Competitiveness of Guangdong Hong Kong and Macao Bay AreaGuangdong University of Finance and Economics

In this paper, we investigate two meromorphic functions which share small functions dealing with multiple values. By constructing auxiliary functions, especially by the deep analysis of counting functions we obtain so... 详细信息

关键词： meromorphic function small function uniqueness multiple value

Uniqueness of Meromorphic functions Sharing One or Two small functions IM

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Journal of Mathematical Research and Exposition 2010年第2期30卷 356-364页

作者： Hart ZHANG Qing De ZHANG Department of Computational Science Chengdu University of Information Technology Sichuan 610225 P. R. China

In this paper, the uniqueness problems of two meromorphic functions sharing one or two small functions IM are studied. By imposing certain conditions on the counting functions of four or three other small functions an... 详细信息

关键词： meromorphic function uniqueness small function sharing IM.

Entire functions sharing some values with their difference operators

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Science China Mathematics 2014年第10期57卷 2143-2152页

作者： ZHANG Jie LIAO LiangWen College of Science China University of Mining and Technology Department of Mathematics Nanjing University

We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multipliciti... 详细信息

关键词： uniqueness entire function difference equation small function

Oscillation Result for Some Non-homogeneous Linear Differential Equations and Its Application

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Acta Mathematicae Applicatae Sinica 2005年第3期21卷 381-388页

作者： Jun Wang Ye-zhou Li Institute of Mathematics Fudan University Shanghai 200433 China School of Science Beijing University of Posts and Tele Communications Beijing 100876 China

This paper investigates solutions of some non-homogeneous linear differential equations, which have non-homogeneous term as the small function of solution. Using the similar method, we can generalize the result of ***... 详细信息

关键词： Non-homogeneous linear differential equation entire function small function order

Uniqueness Problems for Meromorphic functions that Share Three Values

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Chinese Quarterly Journal of Mathematics 2005年第1期20卷 42-46页

作者： WANGJian-ping DepartmentofMathematics Shaozin9GollegeofArtsandSciencesShaozing312000China

This paper investigate the uniqueness problems for meromorphic functions that share three values CM and proves a uniqueness theorem on this topic which can be used to improve some previous related results.

关键词： meromorphic function small function uniqueness shared values

Further Extension on a Theorem of the Value Distribution of f′f^n

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Chinese Quarterly Journal of Mathematics 2007年第1期22卷 155-158页

作者： DOU Pan-ying WU Ghang-qun Department of Mathematics and Information Engineering Puyang Professional Technical Institute Puyang 457000 China College of Mathematics and Information Science Henan University Kaifeng 475001 China

By using small function method, the following result is obtained. If f（z） is transcendental meromorphic and that ψ（z） is non-zero meromorphic and that T（r,ψ） = S（r, f）, then（n＋1）T（r,f）≤N^-（r,1/f＇f^n... 详细信息

关键词： transcendental meromorphic value distribution small function

A Remark on n-small-functions Theorem of Steinmetz

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Northeastern Mathematical Journal 2001年第3期17卷 353-357页

作者：李玉华张庆彩 InstituteofMathematics ChineseAcademyofScienceBeijing100080 DepartmentofMathematics ZhejiangUniversi

This paper studies the Nevanlinna second fundamental theorem, and the extra tem T(r,f) in the n-small-functions theorem of Steinmetz is removed.

关键词： meromorphic function small function extra term