ON THE BOREL DIRECTION OF K-QUASIMEROMORPHIC MAPPINGS

For the K-quasimeromorphic mappings, a precise fundamental inequality for the angular domain is established. From this, the Borel direction of the K-quasimeromorphic mappings of zero order is derived.     

拟亚纯映射的最大型Borel方向

本文得到下列结果:(1)有穷正级K-拟亚纯映射存在最大型Borel方向;(2)有穷正级K-拟亚纯映射最大型Borel方向上存在充满圆序列.     

单位圆内拟亚纯映射的Nevanlinna点的存在性定理

本文讨论了单位圆内的k-拟亚纯映射,证明了Nevanlinna点的存在,并推导出这种Nevanlinna点还是Borel点。     

关于拟亚纯映射的值分布

对于平面上的K-拟亚纯映射，应用覆盖曲面的几何方法，得到了其涉及重值的充满圆、Borel方向和正规定则．     

单位圆内$K-$拟亚纯映射的重值

本文研究了单位圆内的K-拟亚纯映射的重值,应用覆盖曲面的几何方法,得到了其重值的充满圆及Borel半径.     

拟亚纯映射的奇异方向

研究了广泛的K-拟亚纯映射.导出了K-拟亚纯映射Borel方向的一个充分条件和一个充要条件,证明了关于平面上K-拟亚纯映射的Ju lia方向存在性的一个较精确定理.     

一个具有电荷和磁偶极矩黑洞的量子非热辐射及其辐射粒子

一个稳态轴对称非Kerr Newman黑洞时空中的粒子能级分布与电磁四维势有关，黑洞电荷和磁偶极矩的存在以及裸奇点的出现都对粒子能级分布有影响，粒子能级分布与方向有关。此黑洞的量子非热辐射及其粒子的平均射程与辐射粒子的能量范围有关。     

关于零级亚纯函数的Nevanlinna方向与Borel方向

本文研究了零级亚纯函数Borel方向与Nevanlinna方向的关系.应用Ahlfors覆盖曲面的几何方法,获得了部分零级亚纯函数关于型函数的.Borel方向一定是Nevanlinna方向,而这一结果至今未见有文献研究.     

EXAMPLES ON EXCEPTIONAL VALUES OF MEROMORPHIC FUNCTIONS

In this paper, by means of the definition of Borel exceptional value method, another exceptional value of meromorphic function which is a T exceptional value is defined by linking the concept of T direction. And we construct a meromorphic function with zero as Borel exceptional value, but not as T exceptional value; and another meromorphic function with zero as T exceptional value, but not as Borel exceptional value.     

ON A NEW SINGULAR DIRECTION OF QUASIMEROMORPHIC MAPPINGS

By applying Ahlfors＇ theory of covering surface, we establish a fundamental inequality for quasimeromorphic mapping in an angular domain. As an application, we prove the existence of a new singular direction for quasimeromorphic mapping f, namely, a precise S direction, for which the spherical characteristic function S（r, f） is used as a comparison function.     

On meromorphic functions with finite logarithmic order

By using a slow growth scale, the logarithmic order, with which to measure the growth of functions, we obtain basic results on the value distribution of a class of meromorphic functions of zero order.

     

单位圆内拟亚纯映射的Nevanlinna点

该文定义了单位圆内拟亚纯映射的Nevanlinna点与Borel点，并证明了单位圆内满足条件~lim_{r→1}{T(r)/{log1/(1-r)}}=∞的拟亚纯映射的Nevanlinna点与Borel点的存在性。     

ON DIFFERENCE EQUATIONS RELATING TO GAMMA FUNCTION

We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y(z + 1) -y(z) = R(z) and y(z + 1) = P (z)y(z).     

ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

In this paper, meromorphic solutions of Riccati and linear difference equations are investigated. The growth and Borel exceptional values of these solutions are discussed, and the growth, zeros and pol...     

拟共形映射的重值

本文建立了一个关于拟共形射重值的基本不等式,应用它研究了涉及其重值的亏量关系,充满圆及Ｂｏｒｅｌ方向。     

拟亚纯映射的S方向

本文定义了平面上拟亚纯映射的S方向,证明了当limr→∞S(r,f)lgr=∞时存在一条S方向,并且这一S方向还是Julia方向.     

级数小于1的亚纯函数的Borel例外值

证明了当超越亚纯函数的级小于1时，其Norel例外值最多只有一个．由于存在任何级的整函数，因此一个例外值总可达到，故所得结果不能再改进。     

拟亚纯映射的角域重值不等式及应用

建立了平面上K-拟亚纯映射的角域重值不等式,证明了ρ(0≤ρ≤+∞)级K-拟亚纯映射存在与重值有关的强Borel方向.     

On Value Distribution of Δ~nf

In this paper, we mainly study zeros and poles of the forward differences Δnf(z), where f(z) is a finite order meromorphic function with two Borel exceptional values.