2018•Journal of Physics Conference SeriesOpen access

Classes of harmonic univalent functions convex in one direction

R. A. Al-Khal, Khalifa Al-Shaqsi

Abstract

The aim of our paper is to generate new subclasses of harmonic univalent functions convex in one direction using the method of "shear construction" [3] and study some interesting properties of such generation subclasses as convolution between functions convex in one direction belong to such subclasses.

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Key concepts: Convolution (computer science), Regular polygon, Harmonic, Mathematics, Harmonic function, Convex function, Pure mathematics, Convex combination