HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b

HARMONIC MAPPINGS RELATED TO CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER b

Yasar Polatoglu    

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Abstract

Let CC(b) be the class of functions close-to-convex functions of order b, and let S_HSH be the class of harmonic mappings in the plane. In the present paper we investigate harmonic mappings related to close-to-convex functions of complex order b.

Keywords

Convex and starlike functions of complex order b, Close-to-convex functions of complex order b, Harmonic mappings, Growth and distortion theorems.