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Properties of Harmonic Functions Defined by Shear Construction
Rasoul Aghalary
,
Mahdi Jahani Rad
Abstract
In this paper, we introduce a new subclass of harmonic functions defined by shear construction. Among other properties of this subclass, we study the convolution of its elements of it with some special subclasses of harmonic functions. Also, we provide coefficient conditions leading to harmonic mappings which are starlike of order $\alpha$. Some interesting applications of the general results are also presented.