The General Subclasses of the Analytic Functions and Their Various Properties
Sercan Topkaya *
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100, Kars, Turkey.
Nizami Mustafa
Department of Mathematics, Faculty of Science and Letters, Kafkas University, Campus, 36100, Kars, Turkey.
*Author to whom correspondence should be addressed.
Abstract
The object of the present paper is to introduce and investigate two new general subclasses S* C(α, β; γ) and TS* C(α, β; γ) (α, β ∈ [0,1), γ ∈ [0, 1]) of the analytic functions. Here, we givesucient conditions as well as necessary and sucient conditions for the functions belonging tothe classes.
Keywords: Analytic function, starlike function, convex function, Gamma function.