超图研究中的两个问题

使用超图中已取得的结果研究在超图上数据库的整体一致性并初步探讨随机超图.     

CERTAIN SUBCLASS OF p-VALENT MEROMORPHIC ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATOR

The purpose of the present paper is to introduce a new subclass of p-valent meromorphic functions by using certain integral operator and to investigate various properties for this subclass.     

某一类解析函数的性质和特征

本文研究了在单位圆内的解析函数类M_n(α,β).利用解析函数的性质和不等式技巧进行讨论,得到了这类函数的包含关系、系数估计等性质以及这类函数的一个充分条件.     

一类全纯函数的正规性

研究了具有一定性质的全纯函数．设F是平面上区域D内的全纯函数族．如果对于任意的f∈F 都有 其中C为常数且f(0)≠0,则F正规．     

一类全纯函数的正规性

研究了具有一定性质的全纯函数.设F是平面上区域D内的全纯函数族.如果对于任意的f∈F,都有f(z)=0 f'(z)=z j|f″(z)|≤c,其中c为常数且f(0)≠0,则F正规.     

一类亚纯多叶星象函数的子族

本文研究了一类亚纯多叶星象函数的子族(?)_p(β,λ).利用分析的方法与技巧,得到了函数族(?)_p(β,λ)的系数估计、邻域与部分和性质及一些包含关系,所得结果推广了相关作者的一些成果.     

单位圆内的某族解析函数及其Fekete-Szeg不等式

本文引入了某族定义在单位圆内的解析函数。研究了它们的积分表示,系数估计,最大模估计及其子族的 Ｆｅｋｅｔｅ－Ｓｚｅｇｏ不等式,获得了一些较有关文献更一般的结果．     

Bazilevic函数的两个子族

本文讨论了Ｂａｚｉｌｅｖｉｃ函数的两个子族的基本性质，得到了一些新的从属关系以及模，偏差，积分平均和系数的估计。这些估值多数是精确的。     

关于函数组的边值问题的典则函数

本文将定义并运用指数矩阵和对数矩阵的工具来研究解析函数组的边值问题．我们将求出它们的典则矩阵．并给出其总指标和偏指标的解释．     

ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS

In the present investigation we define a new class of meromorphic functions on the punctured unit disk △*:= {z ∈ C : 0 < |z| < 1} by making use of the generalized Dziok-Srivastava operator H l m [α1 ]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.     

PERTURBING FAMILIES OF GENERALIZED LYAPUNOV FUNCTIONS AND RELATIVE STABILITY IN TERMS OF TWO MEASURES

ＰＥＲＴＵＲＢＩＮＧＦＡＭＩＬＩＥＳＯＦＧＥＮＥＲＡＬＩＺＥＤＬＹＡＰＵＮＯＶ　ＦＵＮＣＴＩＯＮＳＡＮＤＲＥＬＡＴＩＶＥＳＴＡＢＩＬＩＴＹＩＮＴＥＲＭＳＯＦＴＷＯ　ＭＥＡＳＵＲＥＳＳｈａｎｇＬｉｊｕｎ（商立军）（ＴｈｅＦｏｕｒｔｈＭｉｌｉｔａｒｙＭｅ...     

一类p叶解析函数的邻域与部分和

本文研究了单位圆内解析的p叶函数类S*n+p-1(η;A,B).利用邻域概念,得到了函数f(z)的邻域与函数类S*n+p-1(η;A,B)的一些包含关系以及函数,f(z)的部分和性质.     

TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS

In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite elliptic equation. Second, the author studies the eigenvalue problem of linear Hermite elliptic equation in a bounded or unbounded domain.     

两类整函数的素性

本文就用Nevanlinna理论研究了两类整函数的素性，所得结果推广了Prokopovich和华歆厚的有关定理。     

TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES

Using the techniques proposed in [3], we prove that two nonconstant meromorphic functions f and g on C must be linked by a quasi-Mbius transformation if they share some pairs of small functions with more precise truncated multiplicities, which improve and extend the results of Duc Quang Si.     

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

In this paper, the new subclass Bn( ,a,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.