Some Properties of Bazilevič Functions Involving Srivastava–Tomovski Operator

Abstract

We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization of the Mittag-Leffler function. The family of functions introduced here is superordinated by a conic domain, which is impacted by the Janowski function. We obtain coefficient estimates and subordination conditions for starlikeness and Fekete–Szegö functional for functions belonging to the class.

Keywords

• analytic function
• Srivastava–Tomovski generalization of Mittag-Leffler function
• convex function
• Bazilevič function
• starlike function
• Fekete–Szegö problem