On the order of strongly starlikeness in some classes of starlike functions

Abstract

We consider the order of strongly starlikeness in the class ofWe consider also the same problem for α-convex functions of order β.

The Order of Strongly Starlikeness of the Generalized α-Convex Functions

“…The strongly-starlike functions and related functions have been extensively studied by several authors (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]).…”

“…He proved that every α-convex function is starlike. Recently, Nunokawa, Sokól and Trabka-Wieclaw [8] considered the generalized α-convex function class:…”