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

Laxmipriya Parida, Teodor Bulboaca, Ashok Kumar Sahoo

Using the operator $L(a,c)$ defined by Carlson and Shaffer, we defined a new subclass of analytic functions $ML(\lambda,a,c)$. 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.