两类复序解析函数族的系数估计

用S表示在单位开圆盘△={z：｜z｜〈1}内单叶解析的函数类．函数族S^＊C（γ，λ，β）为S的一个子类，其中0≤λ≤1，0≤β〈1，γ∈C，z∈△．借用非同构的Cauchy—Euler微分方程，定义了与S^＊C（γ，λ，β）相关的另一类函数族BS^＊C（γ，λ，β,μ），μ∈R＼（-∞，-1]，并得到了S^＊C（γ，λ，β）与BS^＊C（γ，λ，β,μ）系数估计的结果．

Coefficient Estimates of Two Types of Complex Sequence Analytic Functions

Let S denote the class of functions which are analytic and univalent in the open unit disk △={z:|z|<1}.The class S*C(γ,λ,β) belongs to the s.Then the other class BS*C(γ,λ,β) was defined with the Cauchy-Euler differential equation with S*C(γ,λ,β) and the coefficient estimate of the classes S*C(γ,λ,β)and BS*C(γ,λ,β) were obtained.