ON A CERTAIN CLASS OF $p$-VALENT UNIFORMLY CONVEX FUNCTIONS USING DIFFERENTIAL OPERATOR

Abstract

In this paper, using differential operator, we have introduce new class of p-valent uniformly convex functions in the unit disc U = {z : |z| < 1} and obtain the coefficient bounds, extreme bounds and radius of starlikeness for the functions belonging to this generalized class. Furthermore, partial sums f_k(z) of functions f(z) in the class S^*(λ, α, β) are considered. The various results obtained in this paper are sharp.