ON CERTAIN CLASS OF STARLIKE ANALYTIC FUNCTIONS ASSOCIATED WITH A DIFFERENTIAL OPERATOR

  • ENTISAR EL-YAGUBI
    School of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, MALAYSIA
  • MASLINA DARUS
    School of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia, Bangi 43600 Selangor D. Ehsan, MALAYSIA

Abstract

The aim of this paper is to introduce a new class of analytic functions in the unit disk, with negative coefficients, via a new generalized derivative operator. We prove coefficient inequalities for the new class of functions and for a subclass of it, as well as distortion theorems for functions in this subclass and for their derivatives. We determine the extreme points of the newly introduced subclass.

Cuvinte cheie

Analytic functions starlike functions derivative operator