一类亚纯双单叶函数类的系数估计

Coefficient Estimates for a Subclass of Meronorphic Bi-univalent Functions

∑表示在去心单位圆U~*={z∈C:0<|z|<1}内解析且具有下述形式的亚纯单叶函数类f(z)=z^(-1)++∞∑n=1a_nZ^n.构造了单位圆U~*上的一类亚纯双单叶函数f(z)∈∑(λ,φ),得到了其系数估计及Fekete-Szeg不等式.

Let∑denote the class of meromorphic univalent function f of the formf(z)=z^-1+■αnz^n defined in the in U^*={z:z∈C,0<|z|<1}.A new subclass∑(λ,φ)of meromorphic bi-univalent function is defined,coefficient bounds and Fekete-Szegoinequality of the class are obtained.