涉及零点重数的亚纯函数的值分布

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．     

Leafwise Brownian Motions and Some Function Theoretic Properties of Laminations

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.     

Normality of meromorphic functions with multiple zeros and shared values

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.     

关于具有四个分担值的亚纯函数的唯一性

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。     

Functions of finite logarithmic order in the unit disc,Part I

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.     

SANDWICH-TYPE THEOREMS FOR MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH THE LIU-SRIVASTAVA OPERATOR＊

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...     

关于亚纯函数闭凸性的一些判据（英）

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

与其导数具有分担值的亚纯函数唯一性

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.     

Total Defect of a Meromorphic Function and All its Derivatives (II)

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.     

��-Lines of Algebroid Functions

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.     

On the instability of the Riemann hypothesis for curves over finite fields

We show that it is possible to approximate the zeta-function of a curve over a finite field by meromorphic functions which satisfy the same functional equation and moreover satisfy (respectively do not satisfy) an analog of the Riemann hypothesis. In the other direction, it is possible to approximate holomorphic functions by simple manipulations of such a zeta-function. No number theory is required to understand the theorems and their proofs, for it is known that the zeta-functions of curves over finite fields are very explicit meromorphic functions. We study the approximation properties of these meromorphic functions.     

亚纯函数结合导数的辐角分布

本文研究了亚纯函数结合导数的辐角分布. 利用覆盖曲面的方法, 获得了平面上一类零级亚纯函数结合其导数的奇异方向的存在性, 推广了杨乐等关于有限正级亚纯函数的相关结果.     

Normal criteria on the family of meromorphic functions with shared set

In this paper, we investigate the general normality criteria for a family of meromorphic functions using a geometric method. We obtain the necessary and sufficient conditions used for determining the normality of a family of meromorphic functions and some normal criteria on the family of meromorphic functions with shared set by using the fundamental theorem of a covering surface.     

关于超级有穷条件下的Drasin问题

1992 年, 杨乐和王跃飞在有穷级条件下给出了亚纯函数具有满亏量和的充分必要条件, 并解决了1976 年Drasin 提出的三个著名问题. 本文在超级有穷条件下证明了杨乐和王跃飞的相应结果也成立, 从而在超级有穷条件下解决了Drasin 提出的三个著名问题, 改进了杨乐和王跃飞的相应结果, 并举例说明本文结果在某种意义上是最佳的.     

CLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS

The object of this article is to introduce new classes of meromorphic functions associated with conic regions.Several properties like the coefficient bounds,growth and distortion theorems,radii of star...     

The uniqueness of meromorphic functions concerning small functions

We prove that the Nevanlinna five-point-theorem on the uniqueness of meromorphic functions is valid for five small meromorphic functions.     

有限级亚纯函数的不变原理

研究有限级亚纯函数的统计性质,证明了有限级亚纯函数的几乎必然不变原理,如中心极限定理、重对数定律和泛函中心极限定理等统计定律是几乎必然不变原理的推论.     

有限级亚纯函数的不变原理

研究有限级亚纯函数的统计性质,证明了有限级亚纯函数的几乎必然不变原理,如中心极限定理、重对数定律和泛函中心极限定理等统计定律是几乎必然不变原理的推论.     

亚纯函数的唯一性定理

应用奈望里纳理论研究亚纯函数的唯一性问题,得到若干结果,推广了某些已知定理．     

On the behaviour of the successive derivatives of meromorphic functions on the final set

We study the behaviour of the sequence of successive derivatives of meromorphic functions at points of the so-called final set. We prove that, whereas in many cases this sequence tends to ∞, for a special class of meromorphic functions, it may have extremely wild behaviour. We also prove a connection between the derivatives of meromorphic functions from this class and so-called Dirichlet sets.