On Sufficient Conditions for Strongly Starlike Functions Associated With a Linear Operator

Abstract

Abstract. By using the method of differential subordinations, we derive some sufficient conditions for strongly starlike functions associated with a linear operator. All these results presented here are sharp.

Differential subordination and harmonic means for the Koebe type $n$-fold symmetric functions

“…It is related to arithmetic mean A and geometric mean G by G = √ AH. For more information, we refer [1][2][3][4][5][6][7][9][10][11][12]. To obtain our major results, we are introducing some preliminary notations.…”

Estimates for the Initial Coefficients of Bi-univalent Functions

“…For example, the bound for the second coefficient a 2 of functions in S gives the growth and distortion bounds as well as covering theorems. Some coefficient related problems were investigated recently in [1,3,8,9,17,27].…”

“…For some related results, see [10,24,29]. For the various applications of subordination one can refer to [1,3,9,17,27] and the references cited therein.…”