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1.
涉及零点重数的亚纯函数的值分布   总被引:20,自引:0,他引:20  
王跃飞  方明亮 《数学学报》1998,41(4):743-748
本文研究涉及零点重数的亚纯函数的值分布,证明了几个一般的模分布定理及相应的亚纯函数族的正规定则.  相似文献   

2.
We discuss the value distribution of Borel measurable functions which are subharmonic or meromorphic along leaves on laminations. They are called leafwise subharmonic functions or meromorphic functions respectively. We consider cases that each leaf is a negatively curved Riemannian manifold or Kähler manifold. We first consider the case when leaves are Riemannian with a harmonic measure in L.Garnett sense. We show some Liouville type theorem holds for leafwise subharmonic functions in this case. In the case of laminations whose leaves are Kähler manifolds with some curvature condition we consider the value distribution of leafwise meromorphic functions. If a lamination has an ergodic harmonic measure, a variant of defect relation in Nevanlinna theory is obtained for almost all leaves. It gives a bound of the number of omitted points by those functions. Consequently we have a Picard type theorem for leafwise meromorphic functions.  相似文献   

3.
In this paper, we study the normality of a family of meromorphic functions and general criteria for normality of families of meromorphic functions with multiple zeros concerning shared values are obtained.  相似文献   

4.
1.IntroductionLetZdenotetheclassoffunctiollsoftheformf(z)=f Z7=.a.z"thatareregulaxinthepunctuxeddiskE={z:0相似文献   

5.
对具有四个分担值的亚纯函数的唯一性进行了研究,得到:如果两个非常数的亚纯函数具有四个判别的IM分担值,那么要么这两个函数CM分担这四个值,要么这两个函数的这些值的密指量(计数函数)满足不一等式。  相似文献   

6.
The concept of logarithmic order in the unit disc forms a bridge between meromorphic functions of unbounded Nevanlinna characteristic and meromorphic functions of (usual) zero order of growth. A collection of fundamental results for meromorphic functions of finite logarithmic order is given. Some of these results are reminiscent from the finite order case. Part I of this paper culminates in solving the inverse problem related to the famous defect relation in the case of finite logarithmic order. Part II deals with the analytic case.  相似文献   

7.
The purpose of this article is to obtain some subordination and superordination preserving properties of meromorphic multivalent functions in the punctured open unit disk associated with the Liu-Srivas...  相似文献   

8.
This paper is concerned with an extremal problem for meromorphic functions. The necessary and sufficient conditions for a meromorphic function and all its derivatives with maximum defect two are obtained and the behavior of such functions is investigated in detail.  相似文献   

9.
为进一步丰富亚纯函数唯一性理论,寻求更佳的唯一性条件,利用亚纯函数Nevanlinna理论更精确地估计亚纯函数的n重值点的计数函数,得到两个亚纯函数与其导数具有某些分担值时的唯一性定理,推广和改进了相关文献的相关结果.  相似文献   

10.
In this article several theorems of the theory of Γ-lines for meromorphic functions are extended to the more general setting of algebroid functions. We recall the definition of algebroid function of order k and how it can be considered as a function defined on a Riemann surface of k sheets. In this way, we prove the so called tangent variation principle for algebroid functions, previously proved for meromorphic functions by Barsegian, and we get several consequences of this result. We also extend a proposition on proximity properties of meromorphic functions.  相似文献   

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