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

Abstract

Let CC b be the class of functions close-to-convex functions of order b, and let SH 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 functionsof complex order b,Harmonic mappings,Growth and distortion theorems

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