The General Subclasses of the Analytic Functions and Their Various Properties

Sercan Topkaya; Nizami Mustafa

doi:10.9734/ARJOM/2017/37697

paper

The General Subclasses of the Analytic Functions and Their Various Properties

arXiv:1707.05126 · doi:10.9734/ARJOM/2017/37697

Abstract

The object of the present paper is to introduce and investigate two new general subclasses $S^{*} C (α, β; γ)$ and $T S^{*} C (α, β; γ) (α, β \in [0, 1), γ \in [0, 1])$ of the analytic functions. Here, we give sufficient conditions as well as necessary and sufficient conditions for the functions belonging to the classes.