Abstract

The aim of this paper is twofold. One of them is to introduce the class of harmonic $$\nu $$ -Bloch-type mappings as a generalization of harmonic $$\nu $$ -Bloch mappings and thereby we generalize some recent results of harmonic 1-Bloch-type mappings investigated recently by Efraimidis et al. (Complex Var Elliptic Equ 62:1081–1092, 2017). 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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