具有亏值的亚纯函数的唯一性定理

本文主要就具有某些特殊亏值关系的亚纯函数及其ｎ阶导数具有公共值的唯一性得到了一个一般性定理，改进并推广了许多先前已知的结果。     

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.     

具有亏值的亚纯函数的唯一性

改进了Ozawa的一个关于整函数的唯一性定理,得到了∞为亏值的亚纯函数唯一性的相应的几个结论.设亚纯函数f(z)与g(z)的级(或者下级)为有穷的非整数,满足.f=0→g=0,f=1g=1,f=∞9=∞,若∞为f(z)的Borel例外值,则f≡g.以及设f(z)与g(z)为C中非常数的亚纯函数,它们的级λ为有穷且非整数,再设它们满足f=0→g=0,f=1g=1,f=∞g=∞,若δ(∞,f)=1,f(z)为正规增长函数,则f≡g.     

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…     

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.     

Shared Values of Certain Nonlinear Differential Polynomials of Meromorphic Functions

In this paper,by using the idea of truncated counting functions of meromorphic functions,we deal with the problem of uniqueness of the meromorphic functions whose certain nonlinear differential polynomials share one finite nonzero value.     

具2CM与1IM公共值的亚纯函数

本文主要讨论具三个公共值的亚纯函数的唯一性问题,推广并改进了ＵｅｄａＨ．及仪洪勋等人的有关结果．     

On Uniqueness of Meromorphic Functions That Share Two Values

A problem of meromorphic functions that share two values is discussed, and two results recently obtained respectively by Yi H. X. and Song G. D. ＆ Li N. are improved.     

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。     

具最大拟亏量和的亚纯函数的某些性质

本文讨论具最大拟亏量和的亚纯函数的性质，得到一些有趣的结果．     

具有三个公共值的亚纯函数

利用权分担值的思想，对具有三个CM公共值的非常数亚纯函数的唯一性问题进行了研究，所得结果改进了Lahird的部分结论．     

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.     

亚纯函数与其导数具有一个分担值（英）

1. IntroductionIh this paper a "meromorphic fUllction" will mean that is meromorphic in the wholecomplex plane. We say that two non-constant meromorphic functions f and g share avale c in the extended complex plane provided that f(4) = c if and only if g(to) = c.We will state weather a share vale is by CM (counting multiplicitics) or by iM (ignoringmultiplicities). We denote Ek)(c, f) the set of zeros of f(z) -- c with multiplicities less thenor equal to k (ignoring multiplicity), Nk)(h) de…     

圆环中的亚纯函数及其导数在重值条件下的一个唯一性定理

In this paper, we first obtain the famous Xiong Inequality of meromorphic functions on annuli. Next we get a uniqueness theorem of meromorphic function on annuli concerning to their multiple values and derivatives by using the inequality.     

具有亏值的亚纯函数的唯一性

主要研究具有亏值的亚纯函数的唯一性问题,所得结果推广和改进了H.Ueda及仪洪勋等人的有关结果。     

具有两个满亏量的亚纯函数的唯一性

本文研究了具有两个满亏量的亚纯函数的唯一性问题，推广并改进了文［１～６］的一些结果。     

IM分担一个或两个小函数的亚纯函数的唯一性

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 and constructing auxiliary function, some general uniqueness results are obtained.     

CM分担三个公共值的亚纯函数的进一步结果

进一步研究了具有三个cM公共值的亚纯函数的唯一性，改进了H．Ueda和仪洪勋等人的有关结果．     

导数具有公共小函数的亚纯函数

进一步讨论亚纯函数的k阶导数具有公共小函数的唯一性问题,得到两个亚纯函数唯一性问题的结果,改进了李平的有关结果.