Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator

Abstract

Using the operator L(a, c) defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML(λ, a, c). The well known Fekete-Szegö problem, upper bound of Hankel determinant of order two, and coefficient bound of the fourth coefficient is determined. Our investigation generalises some previous results obtained in different articles.