A class of strongly close-to-convex functions

In this paper, we study a class of strongly close-to-convex functions $f(z)$ analytic in the unit disk U with f(0)=0,f(0)=1 satisfying for some convex function $g(z)$ the condition that{equation*}{zf(z)}{g(z)} ( 1+Az/1+Bz) ᵐ{equation*}%{equation*}( -1≤ A≤ 1,-1≤ B≤ 1\ ( A≠ B) ,0<m≤ 1;z) .{equation*}%We obtain for functions belonging to this class, the coefficient estimates, bounds, certain results based on an integral operator and radius of convexity. We also deduce a number of useful special cases and consequences of the various results which are presented in this paper.