Starlike functions of complex order with bounded radius rotation by using quantum calculus

Abstract

In the present paper, we study on the subclass of starlike functions of complex order with bounded radius rotation using q- difference operator denoted by Rk(q, b) where k ≥ 2, q ε (0, 1) and b ε C\{0}. We investigate coefficient inequality, distortion theorem and radius of starlikeness for the class Rk(q, b).

Keywords

• q-starlike function of complex order
• bounded radius rotation
• coefficient inequality
• distortion theorem
• radius of starlikeness