ON SOME SUBCLASSES of HARMONIC MAPPINGS

Abstract

Let denote the class of normalised harmonic mappings in the unit disk satisfying -M+|zg^{\prime \prime }(z)|$]]>, where and 0$]]>. Let denote the class of sense-preserving harmonic mappings in the unit disk satisfying, where 0$]]>. We discuss the coefficient bound problem, the growth theorem for functions in the class and a two-point distortion property for functions in the class. � 2019 Australian Mathematical Publishing Association Inc.