Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator
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Authors: L. PARIDA, T. BULBOACA AND A. K. SAHOO
DOI: 10.46793/KgJMat2204.605P
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.
Keywords:
Analytic functions, differential subordination, Hankel determinant, Fekete-Szegö problem, Carlson-Shaffer operator, Bernoulli’s lemniscate.
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