Geometric Properties for a New Class of Analytic Functions Defined by a Certain Operator

Abstract

The aim of this paper is to define and explore a certain class of analytic functions involving the (p,q)-Wanas operator related to the Janowski functions. We discuss geometric properties, growth and distortion bounds, necessary and sufficient conditions, the Fekete–Szegö problem, partial sums, and convex combinations for the newly defined class. We solve the Fekete–Szegö problem related to the convolution product and discuss applications to probability distribution.

Keywords

• holomorphic function
• Fekete–Szegö problem
• analytic functions
• upper bounds
• starlike function