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

Bulletin of the Malaysian Mathematical Sciences Society, Apr 2016

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 constant for co-analytic part.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2Fs40840-015-0138-9.pdf

S. Kanas, D. Klimek-Smȩt. Coefficient Estimates and Bloch’s Constant in Some Classes of Harmonic Mappings, Bulletin of the Malaysian Mathematical Sciences Society, 2016, 741-750, DOI: 10.1007/s40840-015-0138-9