ON STARLIKE HARMONIC FUNCTIONS

S. Nosrati, A. Zireh

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Abstract

Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sucient conditions, one with the inequality form and other with convolution.

Keywords

Uniformly starlike function, Fully-Starlike function, Harmonic function, Convolution.