Growth Theorems for a Subclass of Strongly Spirallike Functions

[摘要] In this paper we consider a subclass of strongly spirallike functions on the unitdiskDin the complex planeC, namely, strongly almost spirallike functions of typeβand orderα. We obtain the growth results for strongly almost spirallike functions of typeβand orderαon the unit diskDinCby using subordination principles and the geometric properties of analyticmappings. Furthermore we get the growth theorems for strongly almost starlike functions of orderαand strongly starlike functions on the unit diskDofC. These growth results follow the deviation results of these functions.

[学科分类] 应用数学