两族解析函数的极值问题

The Extremely Problem of Class of Analytic Functions

定义了一族解析函数A(σ,α,β,μ)和拓广的Robertson函数族G(α,β,μ),讨论两族解析函数的极值问题,首先利用算子理论和借助一种变分法得到A(σ,α,β,μ)上F^rechet可导泛函所对应的极值函数.利用一阶微分从属证明,关于子类中函数的准确实部不等式,同时推出G(α,β,μ)的相应结果.

We defined a new class of analytic function A （σ,α,β,μ） and extend Robertson function G （α,β,μ）. The extremely problem of two class of analytic function are discussed. In the first, by a vartional method, using operator theorem, we obtained extremely function which mapping Ftechet differential function als in A （σ,α,β,μ）. At the same time, we obtained same result of G（α,β,μ）.