单位球和多圆柱上带正实部的全纯函数Schwarz-Pick估计

本文给出了Bn和D^n上带正实部的全纯函数高阶导数Schwarz—Pick估计,从而推广了早期C中单位圆盘上带正实部的全纯函数高阶导数的Schwarz—Pick估计的结论．     

典型域上高阶Fréechet导数的Schwarz-Pick估计

本文给出了典型域上带正实部的全纯函数高阶Fr¶echet 导数的Schwarz-Pick 估计. 推广了单位圆盘和单位球上带正实部的全纯函数高阶偏导数的Schwarz-Pick 估计.     

有界正则函数的导数估计

在这篇文章中,主要讨论了n阶导数的估计式,即对有界正则函数φ（z)=c0 c1z … cnz^n …(在│z│1内正则）,从已知的三阶、四阶导数估计式,利用归纳法原理及有界正则函数的性质推出n阶导数的一般估计式,并推出在│z│＜1内正则的正实部函数的n阶导数的一般估计式。     

典型域上高阶Frchet导数的Schwarz-Pick估计

本文给出了典型域上带正实部的全纯函数高阶Frchet导数的Schwarz-Pick估计.推广了单位圆盘和单位球上带正实部的全纯函数高阶偏导数的Schwarz-Pick估计.     

I族函数的反函数系数的精确上界

本文得出导数具有正实部的解折函数族的反函数的系数的精确上界。     

关于导数模的估计式的一个改进

<正> 利用解析函数实部的最大值来估计导数的最大模,是函数论中常用到的一个重要估计式.其内容如定理1.设函数 f(z)在|z|≤R 上解析,且 A(R)≥0,则对于任意自然数 n,     

关于有界函数导数的估计

主要讨论了有界函数的导数估计问题,得到三阶导数、四阶导数的准确估计式。     

有界解析函数的n阶导数估计

本文研究了有界解析函数的n阶导数估计.利用有界解析函数泰勒展开式的系数估计,得到了n阶导数估计的一般式,改进了已有的相关结果.     

圆对称函数的相邻系数

研究了圆对称函数的Goluzin问题.当f为圆对称函数,λ=k1(k=2,3,…)时,通过构造一个正实部函数,利用积分方法,得到了k次圆对称函数相邻系数模之差的精确估计.另外,还得到了圆对称函数的积分表示.     

Dirichlet L函数的零点分布

本文给出了DirichletL函数零点实部的一些定量上界估计及其在直线σ＝1附近零点密度的定量上界估计．     

拟置换与实Clifford分析中的广义正则函数

本文应用拟置换的性质，得到了实Clifford分析中广义正则函数的充分必要条件．     

Some properties for quaternionic slice regular functions on domains without real points

The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 2007, was born on balls centred in the origin and has been extended to more general domains that intersect the real axis in a work of 2009 in collaboration with Colombo and Sabadini. This hypothesis can be overcome using the theory of stem functions introduced by Ghiloni and Perotti in 2011, in the context of real alternative algebras. In this paper, I will recall the notion and the main properties of stem functions. After that I will introduce the class of slice regular functions induced by stem functions and, in this set, I will extend the identity principle, the maximum and minimum modulus principles and the open mapping theorem. Differences will be shown between the case when the domain does or does not intersect the real axis.     

正则型控制系统的全局反馈镇定

在对非线性控制系统全局镇定的研究中 ,Byrness,Isidori讨论了光滑非线性系统的光滑反馈与全局正则型的等价条件 ;Kokotovic,Sussmann则在讨论了全局镇定的正实条件后 ,得到了一个判定系统为全局光滑可镇定的重要条件 .本文则考察一类正则型控制系统 ,通过变换系统和构造全局反馈镇定律的方法 ,得到全局光滑镇定     

A construction of weakly and non-weakly regular bent functions

In this article a technique for constructing p-ary bent functions from near-bent functions is presented. This technique is then used to obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions.     

Generalization of perfectly continuous,regular set-connected and clopen functions

Summary Noiri in 1984, Dontchev, Ganster and Reilly in recent years and Reilly and Vamanamurthy in 1983 introduced the notion of perfectly continuous, regular set-connected and clopen functions, respectively. The aim of this paper is to introduce the notion of a new class of functions which is called almost clopen functions including the classes of perfectly continuous, regular set-connected and clopen functions. Furthermore, properties of almost clopen functions are obtained and relationships among almost clopenness, perfect continuity, regular set-connectedness, clopenness and almost continuity are investigated.     

On Real Closed Regular Rings

The aim of this paper is to investigate some properties of real closed regular rings, in particular, the role played by real place in a real closed regular ring.2000 Mathematics Subject Classification: 13J25This work was supported by NSF of Jiangxi Province, China.     

正则函数的修正的Cauchy型积分算子的不动点定理及迭代构造

本文第一部分讨论了正则函数的{\small Cauchy}型积分算子$T[f]$的{\small H\"{o}lder}连续性及此积分算子$T[f]$的范数与$f$的范数之间的关系.第二部分引入了修正的Cauchy型积分算子$\small \widetilde{T}$,首先利用压缩映射原理证明了$\small \widetilde{T}$算子具有不动点,然后给出了其不动点的迭代序列并证明了此序列强收敛于$\small \widetilde{T}$算子的不动点.     

Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on Bn and D n,and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on unit disk in C.     

A Note on Schwarz-Pick Estimate

A Schwarz-Pick estimate of higher order derivative for holomorphic functions with positive real part on Bn is presented. This improves the earlier work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on the unit disk in C.     

改进的代数体函数的正规增长定理

主要讨论了涉及Borel例外小函数(亚纯函数)的代数体函数的正规增长性,通过建立的特征函数间的相互关系及亚纯函数的正规增长定理,得到了关于Borel例外小函数的代数体函数的正规增长定理,进一步改进了有关文献的结论.