Analytic functions related with the hyperbola

Abstract

The author considers a new class $SH_{\lambda \mu }^m (\alpha )$ of normalized analytic functions defined by a differential operator. Several basic properties and characteristics of the functions belonging to the class $SH_{\lambda \mu }^m (\alpha )$ are investigated. These include integral representations, coefficient bounds, the Fekete-Szegö problem, class-preserving operators and T _δ-neighborhoods.

Keywords

Analytic function / Differential operator / Hyperbolic domain / Fekete-Szegö problem / Neighborhood

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