On Harmonic $\nu$-Bloch and $\nu$-Bloch-type mappings
Abstract
The aim of this paper is twofold. One 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. \cite{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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2017
- DOI:
- 10.48550/arXiv.1707.01570
- arXiv:
- arXiv:1707.01570
- Bibcode:
- 2017arXiv170701570L
- Keywords:
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- Mathematics - Complex Variables;
- Primary: 30A10;
- 30B10;
- 30H30;
- 31A05;
- Secondary: 30C55
- E-Print:
- 17 pages