Following Clunie and Sheil-Small, the class of normalized univalent harmonic mappings in the unit disk is denoted by S H. The aim of the paper is to study the properties of a subclass of S H , such that the analytic part is a convex function. We establish estimates of some functionals and bounds of the Bloch's constant for co-analytic part.
Abstract. Let S 0H be the class of normalized univalent harmonic mappings in the unit disk. A subclass V H (k) of S 0 H , whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in V H (k) are given.
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