卷入Hohlov算子的某解析双单叶函数子类的系数估计

本文引入并研究卷入Hohlov算子的解析双单叶函数类Σ的新子类S_(Σ)^(a,b,c)(τ,μ,λ,γ;φ),然后得到其对应的系数a_(2)和a_(3)的有界估计.进而,一些与早期已有结果的因果关系和联系也被给出.

Fekete-Szegö Inequality for a Subclass of Bi-univalent Functions Associated with Hohlov Operator and Quasi-subordination

In this paper, we introduce a new subclass of bi-univalent functions defined by quasi-subordination and Hohlov operator and obtain the coefficient estimates and Fekete-Szego inequality for function in this new subclass. The results presented in this paper improve or generalize the recent works of other authors.

Ma-Minda型双向单叶螺旋函数推广类的系数估计

利用Hohlov算子,定义了解析双单叶函数类σ的新子类Ma-Minda型双向单叶螺旋函数类H_(σ)^(μ,a,b,c)(λ,β,φ);利用从属关系,得到了该类中函数的系数a_(2)和a_(3)的有界估计以及Fekete-Szeg?不等式,推广了一些前人研究的结果.

一类亚纯函数的Fekete-Szego不等式

利用从属关系定义了一个亚纯函数类,并得到了其精确的Fekete-Szego不等式;作为Fekete-Szego的应用,也得到了Hohlov算子定义的亚纯函数类的Fekete-Szego不等式.

Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions

In this paper, we introduce and investigate a new subclass of the function class ∑. of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ｜a2｜ and ｜a3｜ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several （known or new） consequences of the results are also pointed out.