The questions at the front for the several complex variables such as holomorphic function for the several complex variables,holomorphic domain and Levi problem,Cousin problem and Rung theorem,complex manifold and complex vector bundle,sheaf homology group,RiemannRoch theorem and symmetric domain etc,are introduced in this paper.
本文介绍了它的前沿问题：多复变全纯函数；全纯域与ｌｅｖｉ问题；Ｃｏｕｓｉｎ问题与Ｒｕｎｇ定理；复流形与复向量丛；层与同调群以及ＲｉｅｍａｎｎＲｏｃｈ定理与对称域等。
On the normality of a class of compound holomorphic functions;
涉及一类全纯函数复合的正规定则
Normal criteria of holomorphic functionfamilies concerning shared values;
全纯函数族涉及公共值的正规定则
Shared holomorphic functions normal families;
全纯函数与其导数分担的正规定则
Let ∑={f} be the set of all holomorphic functions in the unit disk each of which has the two Picard exceptional values 0 and 1.
记 ∑ 为单位圆△ :｜z｜<1内具两个缺值 0和 1的全纯函数全体 。
The normal problem of holomorphic functions is studied from the normal criterion about the distribution of the f′(z) value which is extended to that of the f(k)(z) value.
讨论了全纯函数的正规性问题,由f′(z)值分布的正规定则推广到f(k)(z)值分布的正规定则。
Extended Cesàro Operators on Holomorphic Function Spaces in C～n;
几个全纯函数空间上的加权Cesàro算子
Weighted Composition Operators on Several Holomorphic Function Spaces
几类全纯函数空间上的加权复合算子
Normalty Concerning Differential Polynomial in Holomorphic Functions
涉及微分多项式的全纯函数的正规性
Integral Representation for Holomorphic Functions on Quasidisks and Universal Teichmuller Space;
拟圆上全纯函数的积分表示和万有Teichmuller空间
Some Kinds of Linear Operators on Certain Holomorphic Function Spaces;
关于某些全纯函数空间的几类线性算子
Cauchy’s Integral Formulae for Derivatives of the n-th Order of Holomorphic Functions in H~p-space (p≥1);
H~p(p≥1)空间中的全纯函数的n阶导数的Cauchy积分公式
A Nonlinear Boundary Value Problem with Haseman Shift for Generalized Holomorphic Functions of Several Complex Variables
多复变广义全纯函数的一个带Haseman位移的非线性边值问题
The Singular Point of Holomorphic Function With Finite Order Concerning Differential Polynomials in The Circle
圆内有穷级全纯函数关于其微分多项式的奇异点
Holomorphic Cliffordian Function in Clifford Analysis;
Clifford分析中全纯Cliffordian函数
Existence and Continuation of Holomorphic Solutions for a Functional Equation Pure Mathematics;
一类函数方程全纯解的存在性与延拓
Optical Security Based on Phase Additive Using Phase-only CGH
利用纯位相计算全息图实现位相函数相加的光学安全技术
Julia s Direction for Compound Function of Meromorphic Function and Entire Function;
关于亚纯函数与整函数的复合函数的JULIA方向
Some Results on Distribution of Entire and Meromorphic Functions;
整函数和亚纯函数值分布的若干结果
The Uniqueness of Meromorphic Functions Sharing Small Functions IM;
涉及公共IM小函数的亚纯函数唯一性
Uniqueness of Meromorphic Function Sharing Five Small Functions;
分担5个小函数的亚纯函数的唯一性
The BR Direction on the Small Functions of the Meromorphic Function of Zero Orders;
零级亚纯函数关于小函数的BR方向
On the Uniqueness of Meromorphic Functions and its Derivative Share Values;
亚纯函数与其导函数分担值的唯一性
On Several Results Fundamental Functions of Meromorphic Functions;
关于亚纯函数的特征函数的几个结果