拟共形映射族

应用覆盖曲面的理论,研究了拟共形映射族,建立了一个基本不等式,得到内个关于拟共形映射的正规定理。     

平面上的零级Dirichlet级数

应用最大项指标,在较宽的系数条件下,对复平面上的零级数Dirichlet级数进行了深入的研究,得到关于它们增长性的两个定理,即文中定理1和定理2．     

半平面上有限级随机Dirichlet级数的亏函数

研究了半平面上非常-般的随机Dirichlet级数,证明了有限级随机Dirichlet级数几乎必然没有亏函数.     

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.     

代数体函数第二基本定理的推广

把代数体函数第二基本定理推广到了p个次数不超过d的多项式的情形,得到了类似于亚纯函数理论中Dufresnoy J推出的结果.     

Laplace-Stieltjes变换所定义的右半平面上的解析函数的增长性与型函数

本文在Laplace-Stieltjes变换的研究中首次引进了精确级和型函数的概念,讨论了右半平面上有限级L-S变换所定义的解析函数F(s)的增长性,完善并推广了Dirichlet级数的关于精确级和型函数的有关结果.     

平面上随机亚纯函数

用平面上随机Taylor级数定义并研究了平面上随机亚纯函数,得到了这些平面上随机亚纯函数增长性与平面上无穷级随机亚纯函数值分布的结果.     

THE BOREL DIRECTIONS OF ALGEBROIDAL FUNCTION AND ITS COEFFICIENT FUNCTIONS

In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained.     

On the Growth of Zero Order Laplace-Stieltjes Transform Convergent in the Right Half-Plane

In this article, authors study the growth of Laplace-Stieltjes transform with zero order convergent in the right half-plane, define the exponential order and the exponential low order, and find the relations between them. Some results similar to Dirichlet series are obtained.     

Dirichlet级数与随机Dirichlet级数在半平面内的增长性

采用Knopp-Kojima的方法,研究了Diriehlet级数与随机Diriehlet级数在右半平面内的增长性,得到了级由系数表示的充分必要条件.并且得到了随机Dirichlet级数在右半平面内的级与任意水平半带形内的级在一定条件下几乎必然相等的结论.