On subclasses of $n\text{–}p$-valent prestarlike functions of order $\beta$ and type $\gamma$

Abstract

In the present paper, we introduce the class $R_{p,n}[\alpha ,\beta ,\gamma ,A,B]$ of $n\text{–}p$-valent $\alpha -$prestarlike functions of order $\beta$ and type $\gamma$ with negative coefficients defined by a Sălăgean operator. Extreme points, integral operators and distortion theorems of this class are obtained. We also obtain several results for the radius of starlikeness, convexity and modified Hadamard products of functions belonging to this class.