Growth Theorems for a Subclass of Strongly Spirallike Functions

Abstract

In this paper we consider a subclass of strongly spirallike functions on the unit disk D in the complex plane C, namely, strongly almost spirallike functions of type β and order α. We obtain the growth results for strongly almost spirallike functions of type β and order α on the unit disk D in C by using subordination principles and the geometric properties of analytic mappings. Furthermore we get the growth theorems for strongly almost starlike functions of order α and strongly starlike functions on the unit disk D of C. These growth results follow the deviation results of these functions.