Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions

Abstract

We define a class [ A, B , α , ρ ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close‐to‐convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.