q-STARLIKE FUNCTIONS OF ORDER ALPHA

Abstract

For all q ∈  (0; 1) and 0  ≤  ∝   < 1 we define a class of analytic functions,  so-called q -starlike functions of order  ∝  on the open unit disc  𝔻 = { 𝓏 : | 𝓏| < 1 }.  We will  study this class of functions and explore some inclusion properties with the well-known  class Starlike functions of order  ∝.