ON A SUBCLASS OF PRESTALIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

Abstract. Motivated by recent work of Uralegaddi and Sarangi[12], we aim at presenting here system study of novel subclass Rα[µ, β, ξ] of prestarlike functions. Further using operators of fractional calcu-lus, we have obtained distortion theorem for Rα[µ, β, ξ]. Lastly the extreme points of Rα[µ, β, ξ] are obtained. 1. Introduction. Let A denote the class of functions of the form (1.1) f(z) = z + n=