Meromorphic Functions That Share Three Sets

In this paper we study the problem of meromorphic functions sharing three sets and obtain some theorems which are the extension and complement of some known relative results given by Yi Hongxun and others.     

Meromorphic Functions with Two Deficient Values

ＭｅｒｏｍｏｒｐｈｉｃＦｕｎｃｔｉｏｎｓｗｉｔｈＴｗｏＤｅｆｉｃｉｅｎｔＶａｌｕｅｓＸｕＷａｎｓｏｎｇ（徐万松）（ＣｏｌｌｅｇｅｏｆＳｃｉｅｎｃｅｓ，ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙｏｆＡｅｒｏｎａｕｔｉｃｓａａｄＡｓｔｒｏｎａｕｔｉｃｓ，Ｎａｎｊ...     

On the Pseudo—Primensee of Meromorphic Functions of Infinite Order

In this paper the pseudo-primeness of meromorphic functions of infinite order is disscossed in detail and quite a few result are obtained,which ae improvments of that of Ozawa.     

On Meromorphic Starlike Multivalent Functions

In this paper we introduce and study some new subclasses of meromorphic starlike multivalentfunctions.Inclusion relations are established,Integral transforms of functions in these classes are alsoconsidered.In particular,our results include or improve several results due to Mogra et al.[2],Mogra[3],Goel and Sohe[4]and Bajpai[5].     

On Deficient Values of Meromorphic Functions

I. Let f(z) be a meromorphic function of order p (O<ρ<∞) and T(γ,f) be the characteristic function. We use the standard notation of Nevanlinna theory. If ρ (γ) is a proximate order relative to T(γ, f) Levln, then by using ρ (γ) Valiron has introduced the following, for any complex nu-     

Meromorphic Functions Sharing Two Values

By using the idea of weighted sharing of values, the problem of uniqueness of meromorphic functions that share two values is studied. The results in this paper improve some theorems given by M. Ozawa and Yi Hongxun et al.     

On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations

This paper investigates the problem of the growth of the components of meromorphic solutions of a class of a system of complex algebraic differential equations, and generalized some of N. Toda＇s results concerning the growth of differential equations to the case of systems of differential equations. The paper considers the existence of admissible solutions of the system of differential equations.     

Entire Functions That Share A Value With Their Derivatives

This paper obtained a unicity theorem on entire functions that share a value with their derivatives, which extered and improved some results of Gundersen and L.Z.Yang.     

Uniqueness Theorem of Meromorphic Mappings with Moving Targets

Some uniqueness theorems of meromorphic mappings with moving targets are given under the inclusion relations between the zeros sets of meromorphic mappings.     

Further Extension of a Theorem of Values Distribution of Meromorphic Function f^（k）f^n

In this paper we derive the fundamental inequality of the theorem of meromorphic functions. It extends some results of Yi Hong-xun et al. As one of its application, we then study the value distribution of f^（k）f^n-c（z）.     

涉及微分多项式的亚纯函数唯一性

本文研究了[fn(f-1)m](k)和[gn(g-1)m](k)分担1CM的唯一性问题,其中f和g为超越亚纯函数.此外,我们的定理在一定程度上推广了张晓宇等人的结果。     

共享三个值的亚纯函数的唯一性问题

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.     

具有四个分担值的亚纯函数的唯一性定理

对“如果两个非常数亚纯函数以三个判别复数为IM分担值并以另外一个复数CM分担值,那么这两个函数是否以这四个复数CM分担值？”这一开问题,我们研究了两函数具有四个IM分担值并且密指量满足一附加条件的唯一性,得到一些结果,部分回答了上述开问题。     

亚纯函数涉及重值分担小函数的唯一性

本文研究了亚纯函数涉及重值分担小函数的唯一性问题, 通过构造辅助函数, 特别是通过深入分析计数函数, 我们得到一些结果, 所得结果推广了一些学者的已有成果.     

Uniqueness of Meromorphic Functions Sharing One Set

In this paper,we study uniqueness of meromorphic functions sharing one set,and obtain some results,which improve and extend the original results.     

具有公共值集和亏值的亚纯函数唯一性

§ 1 .　IntroductionandtheMainResult　　Inthispaper,weshallusethestandardnotationsofvaluesdistributiontheory(see [1]) .LetfbeameromorphicfunctionandSbeasetofdistinctelements.SetEf(S) =∪a∈S{z:f =a ,countingmultiplicities} .Recently,manygoodresultswereobtained(see [1— 4]) ,whichansweredthequestionofGross(see [5 ]) .TheoremA(see [3])　LetS1 ={ 0 } ,S2 ={z :z2 (z+a) -b =0 } ,wherea,baretwononzeroconstantssuchthatthealgebraicequationz2 (z+a) -b=0hasnomultipleroots.Iff ,garetwoentirefunctio…     

关于亚纯函数的唯一性定理

本文研究亚纯函数的唯一性问题,证明的结果与Ｈ．Ｕｅｄａ的一个工作相关。     

On Uniqueness of Meromorphic Functions with Shared Values in One Angular Domain

In this article we investigate the uniqueness of transcendental meromorphic function dealing with four shared values in one angular domain instead of the whole complex plane.     

圆环内亚纯函数分担IM集合的唯一性定理

研究圆环内亚纯函数唯一性问题,获得了两个关于亚纯函数分担集合的一般性的唯一定理,从中得到了Nevanlinna五值定理的一个类似结果.