设A_(p,n)(p,n是正整数)表示单位开圆盘U={z:|z|<1}内形为f(z)=z^p+sum(a_kz^k)from k=p+n to ∞的解析函数类.引进A_(p,n)的子类H_(p,n)(A,B,α,λ),导出一些有趣的性质,研究类H_(p,n)(A,B,α,1)中函数的p叶近于凸性和p叶星形性.
In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also...In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also investigated.展开更多
Recently,Aouf and Darwish [1] proved some estimates in relation to the real part of function D k+p-2 f(z)z p for f(z)∈R(1,k,p,α). In this paper we improve their results and obtain the sharp estimation.
Let A p(n)(p, n∈N=｛1,2,…｝) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E=｛z:｜z｜<1｝. By using the method of differential subordinati ons we give som...Let A p(n)(p, n∈N=｛1,2,…｝) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E=｛z:｜z｜<1｝. By using the method of differential subordinati ons we give some sufficient conditions for a function f(z)∈A p(n) to be a certain subclass R p(n,k) of p-valently close-to-convexity funct ions.展开更多
文摘设A_(p,n)(p,n是正整数)表示单位开圆盘U={z:|z|<1}内形为f(z)=z^p+sum(a_kz^k)from k=p+n to ∞的解析函数类.引进A_(p,n)的子类H_(p,n)(A,B,α,λ),导出一些有趣的性质,研究类H_(p,n)(A,B,α,1)中函数的p叶近于凸性和p叶星形性.
文摘In this paper we consider the extreme points of closed convex hull of the class T σ(p,α) and then it is used to determine the coefficient bounds. Some other interesting properties of the class T σ(p,α) are also investigated.
文摘Recently,Aouf and Darwish [1] proved some estimates in relation to the real part of function D k+p-2 f(z)z p for f(z)∈R(1,k,p,α). In this paper we improve their results and obtain the sharp estimation.
文摘Let A p(n)(p, n∈N=｛1,2,…｝) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E=｛z:｜z｜<1｝. By using the method of differential subordinati ons we give some sufficient conditions for a function f(z)∈A p(n) to be a certain subclass R p(n,k) of p-valently close-to-convexity funct ions.
