This paper defines a family analyticfunctions A( ,α)of linear homeomorphicandstarlike functions。We deduce the integral expressionof functions in A( ,α);with the hilpof operatortheory study contain relation of family A(,α)andprove convolution theorem ,determine its close convexhull ,extreme points of close convex hull and its supportpoints;making use of differential subordination prove on ainequalityof realpart ,Lastly ,we also showthat the distortiontheoremof functions in A(,α)。
YeXi Zhao.
A Family Analytic Functions ofLinearHomeomorphic and Starlike Functions. Acta Mathematica Sinica, Chinese Series, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0049