半平面上Dirichlet级数的增长级

研究了半平面上有限正级Ｄｉｒｉｃｈｌｅｔ级数，证明了几个关于它们的级与下级的定理．     

右半平面上解析的Laplace-Stieltjes变换对数级

本文研究了零级Laplace-Stieltjes变换的增长性问题.利用对数级和对数下级的定义,获得了这类变换具有对数级的特征,即变换的对数级和对数下级与其系数之间的关系,推广了Dirichlet级数的相关结果.     

Laplace-Stieltjes变换所确定的整函数的对数级

研究了全平面上收敛的零级Laplce-Stieltjes变换的增长性问题,通过定义对数级和对数下级,得到了零级Laplace-Stieltjes变换具有对数级和对数下级的特征性质,推广了Dirichlet级数相关结果.     

半平面上零级Dirichlet级数的增长性

本文研究半平面上的零级Dirichlet级数的增长性,定义了半平面上的零级Dirichlet级数的指数级和指数下级,通过用零级Dirichlet级数的系数,得到了其与系数之间的关系.     

Dirichlet级数和随机Dirichlet级数的下级增长性

本文研究了全平面上零级和有限级Dirichlet级数及随机Dirichlet级数的下级增长性.利用型函数,得到了其系数和增长性之间的关系,以及当随机变量序列{X_n(ω)}满足一定条件时,零级和有限级随机Dirichlet级数在全平面上所确定的随机整函数在每条水平直线上的下级增长性几乎必然与相应的随机Dirichlet级数的下级增长性相同.     

Dirichlet级数的下级

采用Knopp-Kojima的方法,去掉-lim n→∞ lnn/λn=E＜+∞等条件,研究了一般的Dirichlet级数在全平面内与右半平面内的下级,给出了下级由系数表示的充要条件.     

α型β级Bazilevic函数的Fekete-Szeg?问题

设Ｂ（α，β）（α＞０，０≤β＜１）表示在单位圆盘内定义的规范化的α型β级Ｂａｚｉｌｅｖｉｃ函数类．本文对Ｂ（α，β）中函数ｆ（ｚ）＝ｚ＋∑from∞to(ｎ＝２)ａ_ｎｚ^ｎ得到｜ａ３－λａ₂²｜（０≤λ≤１）的准确估计．     

C~n中的Schwarz导数

本文给出Ｃｎ中星形域的Ｓｃｈｗａｒｚ导数的定义，并证明Ｓｃｈｗａｒｚ导数为０的充要条件为映射是分式线性变换，及Ｓｃｈｗａｒｚ导数与分式线性变换复合的不变性质．     

Dirichlet级数的下级

采用Knopp-Kojima的方法,去掉(?)(lnn)/(λn)=E+∞等条件,研究了一般的Dirichlet级数在全平面内与右半平面内的下级,给出了下级由系数表示的充要条件.     

半平面上无限级Dirichlet级数的上下级

本文研究了右半平面上无限级Dirichlet级数的增长性及正规增长性.利用熊庆来的型函数及Newton多边形,得到了Dirichlet级数的下级与其系数的关系.     

广义Laplace-Stieltjes变换的准确零(R)级

本文对广义Ｌａｐｌａｃｅ－Ｓｔｉｅｌｔｊｅｓ变换确定的解析函数引进了准确零（Ｒ）级的概念，得到了这样的函数有准确零（Ｒ）级的两个充要条件．其结果类似于指数级数     

一类无穷下级整函数的Julia集的径向分布

主要研究方程f"(z)+A(z)f'(z)+B(z)f(z)=0(A(z)),B(z)为整函数)的解、解的多项式或微分多项式这些具有无穷下级的整函数的Julia集的径向分布问题.     

半平面上有限级Dirichlet级数的逼近

主要讨论用Dirichlet多项式去逼近半平面上有限级的Dirichlet级数时产生的误差与原Dirichlet级数的增长级,精确级与型函数之间的联系,得到一些有趣的结果.     

The Emergence of Social Order by Processes of Typifying: A Computational Model

The article argues that Rational Choice approaches are not sufficient to explain the “how” of the emergence of social order. Therefore, the concept of “typifying” according to the theory of Berger and Luckmann is understood as the most important form of establishing social orders between different social actors. A computational model is described that captures the basic features of the typifying process. Each artifical actor consists of two different neural nets, an “action net” and a “perception net”. These nets allow an actor to establish social rules of interaction with other actors, to remember the other actors after a time and to typify new actors as persons that belong to the same type as actors the first actor is already “acquainted” with. Experimental results and theoretical consequences are also given.     

商业银行财务绩效偏序集评价研究

为了提高商业银行财务绩效水平,满足利益相关者信息需求,从收益和风险以及发展的角度构建“盈利性”、“安全性”、“流动性”和“社会性”四个维度的商业银行财务绩效评价指标体系,采用偏序集评价方法对15家样本商业银行2017年财务绩效进行评价。财务绩效排名和HASSE图的结果表明:处于较高层级的样本商业银行财务绩效较好,其盈利性、安全性、流动性较优,并具备较强的发展能力;处于较低层级的样本商业银行财务绩效较差,其盈利性、安全性、流动性较弱,发展能力较弱;重要性程度靠前的 “盈利性”和“安全性”评价维度,不是导致商业银行绩效排名和分层的主要影响因素,商业银行要提升财务绩效,应该更加重视“流动性”和“社会性”维度。同时,采用偏序集评价方法,克服了评价指标精确赋权问题,获得的HASSE图直观展示样本商业银行财务绩效排名稳定性和整体市场竞争格局,具备其他评价方法无法比拟的优势。     

四阶非线性边值问题解的存在性与上下解方法

该文讨论四阶常微分方程边值问题u^(4)(t)=f(t,u,u″), t∈［0,1］,u(0)=u(1)=u″(0)=u″(1)=0解的存在性, 其中f(t,u,v):［0,1］×R×R→R为Carathéodory函数. 在不限制f关于u,v的增长阶, 不假定f关于u,v的单调性的一般情形下, 用上下解方法获得了解的存在性结果,并讨论了单调迭代求解的有效性.     

The proximate type and λ-proximate type of an entire Dirichlet series with index-pair (p, q)

The notion of proximate type for an entire Dirichlet series with index-pair (p, q) is introduced and its existence is proved. In order to study the lower proximate type, the idea has been extended to the case of entire functions of irregular (p, q)-growth. The proximate type for a class of entire Dirichlet series under certain conditions is constructed.     

Lower bounds for positive and negative parts of measures and the arrangement of singularities of their Laplace transforms

For a real measure with variation V(x) satisfying the estimate V(x) ≤ c ₀ exp(Cx) and for the Laplace transform holomorphic in the disk {¦ -C¦ ≤ C} and having at least one pole of order m, we obtain lower bounds for the positive and negative parts of the measure V _± (x) > cx ^m , x > x ₀. We establish lower bounds for V _+- (x) on “short” intervals. Applications to number theory of the results obtained are considered.     

二重Laplace-Stieltjes变换的增长性*

本文引入了一种新的广义级来研究由二重Laplace-Stieltjes变换所定义的全纯函数的增长性, 并建立了一些最大模与最大项之间的有趣的关系,推广了Laplace-Stieltjes变换的某些结果.     

On the lower central series of the free nilpotent groups of finite rank

In their article, “On the derived subgroup of the free nilpotent groups of finite rank” R. D. Blyth, P. Moravec, and R. F. Morse describe the structure of the derived subgroup of a free nilpotent group of finite rank n as a direct product of a nonabelian group and a free abelian group, each with a minimal generating set of cardinality that is a given function of n. They apply this result to computing the nonabelian tensor squares of the free nilpotent groups of finite rank. We generalize their main result to investigate the structure of the other terms of the lower central series of a free nilpotent group of finite rank, each again described as a direct product of a nonabelian group and a free abelian group. In order to compute the ranks of the free abelian components and the size of minimal generating sets for the nonabelian components we introduce what we call weight partitions.