Neighborhoods and Partial Sums of Subclass of κ-Uniformly Convex Functions and Related Class of κ-Starlike Functions with Negative Coefficients Based on Integral Operator.

In this paper, we introduce a class κ -- UCV(λ, γ, β, δ ) of analytic univalent functions with negative coefficients. This class is based on an integral operator Qβδ of the function f(z). We obtain some neighbourhoods results. Partial sums hm(z) of the functions f(z) in this class are considered. Also we study coefficient bounds, extreme points and radius of close-to-convexity, starlikeness and convexity of this class. [ABSTRACT FROM AUTHOR]