摘要
Let Hn(p)be the class of functions of the form f(z)=z p+ +∞Σ k=n akzk+p,which are analytic in the open unit disk U={z:|z|<1}.In the paper,we introduce a new subclass Bn(μ,a,c,α,p;φ)of Hn(p)and investigate its subordination relations,inclusion relations and distortion theorems.The results obtained include the related results of some authors as their special case.
Let Hn(p)be the class of functions of the form f(z)=z p+ +∞ Σ k=n akzk+p,which are analytic in the open unit disk U={z:|z|1}.In the paper,we introduce a new subclass Bn(μ,a,c,α,p;φ)of Hn(p)and investigate its subordination relations,inclusion relations and distortion theorems.The results obtained include the related results of some authors as their special case.
基金
Supported by the Doctoral Foundation of the Education Committee of China(20050574002)