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Coefficient Estimates and Bloch’s Constant in Some Classes of Harmonic Mappings

Following Clunie and Sheil-Small, the class of normalized univalent harmonic mappings in the unit disk is denoted by \({\mathcal {S}}_{{\mathcal {H}}}\). The aim of the paper is to study the properties of a subclass of \({\mathcal {S}}_{{\mathcal {H}}}\), such that the analytic part is a convex function. We establish estimates of some functionals and bounds of the Bloch’s...