On the Growth of Transcendental Entire Functions with Unbounded Fatou Components

Suppose that f（ z ） is a transcendental entire function and that F（f） contains unbounded Fatou components. In this article, we obtained some links between the lowor bounds of the lower order of f and the angle of an angular sector which is completely contained in an unbounded Fatou component of F（f）. Then, we investigate the bounded components for the Julia set J（f） of a transcendental entire function f（z ） and obtain a sufficient and necessary condition.     

On the Local Connected and Jordanian Julia Sets

In this article,we investigate the dynamical properties of fλ(z)=λzkez,for λ(≠0)∈C and k≥2.We will show that the boundaries of some (or all) Fatou components are Jordan curves and the Julia sets are Sierpinski carpet,and they are locally connected for some certain λ.     

对个人外汇理财产品初始价格的研究

以文献4所研究成果为基础,从客户违约和不违约两个角度出发,计算了工行＂两得利＂外汇理财产品初始时刻的合约价值,给出了闭式解。最后通过数值计算,分析了该合约在初始时刻的价值与各参数之间的关系,并给出了相应的金融解释。     

超越整函数Julia集的外延

设厂是超越整函数．并且F(f)≠￠．本文中我们证明如下结果；如F(f)不含DiophantineSiegel盘．则对几乎所有α∈EF(f)，有 J(f)=--∞∪n=0f-n(α) 其次我们考虑周期点属于F(f)的条件。     

可交换超越整函数的Fatou分支

设 q(z)是非常数多项式 ,a ,b是两个常数 (a ≠ 0 ) .对于两个满足 q( g) =aq( f) +b的可交换超越整函数f和g ,证明了A( f) =A( g) ,其中A( f)是所有对某个自然数L和一切大于L的n满足 fn(z) >M(R ,fn-L)的z∈C的集合 .此结果证实了Wang Yang提出的一个猜测。     

一类超越整函数的Fatou分支的边界与Jordan曲线

设fk(z) =k- (k- 1 )logk kz-ez,gk(z) =k1-kzkek-z,hk(z) =k kz-kez 和tk(z) =zkek(1-z) ,其中k≥ 2为自然数 .论文推广了Bergweiler和Kisaka的一个结论 ,证明了两个结果 :( 1 )上述四类函数中的任何一个函数的Fatou分支的边界都是Jordan曲线 ;( 2 )上述所有函数的Julia集的Lebesgue测度为零