On Harmonic -Bloch and -Bloch-type mappings
Abstract
The aim of this paper is twofold. One is to introduce the class of harmonic -Bloch-type mappings as a generalization of harmonic -Bloch mappings and thereby we generalize some recent results of harmonic 1-Bloch-type mappings investigated recently by Efraimidis et al. EGHV. The other is to investigate some subordination principles for harmonic Bloch mappings and then establish Bohr's theorem for these mappings and in a general setting, in some cases.
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