Making use of the generalized hypergeometric functions, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients and obtain coefficient estimates, extreme points, the radii of close-to-convexity, starlikeness and convexity, and neighborhood results for the class TSm α, β, γ . In particular, we obtain integral means ineq...

"A normalized function $f$ on the open unit disc is starlike (or convex) univalent if associated $zf'(z)/f(z)$ $1+zf''(z)/f'(z)$) a with positive real part. The radius of starlikeness or convexity usually obtained by using estimates for functions Using subordination, we examine various starlikeness, in particular, radii Janowski and order $\beta$, when either convex $(zf'(z)+\alpha z^2f''(z))/f...

In the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.