A Certain Subclass Of Analytic Functions With Negative Coefficients Defined By Gegenbauer Polynomials
Abstract
In this paper, we introduce a new subclass of analytic functions with negative coefficients defined by Gegenbauer polynomials. We obtain the coefficient bounds, growth and distortion properties, extreme points and radii of starlikeness, convexity and close-to-convexity for functions belonging to the class T Sm λ (γ, ̺, k, ϑ). Furthermore, we obtained the Fekete-szego problem for this class.