Certain subclasses of starlike functions of complex order involving generalized hypergeometric functions (Q978980)

Summary: Making use of 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 \(TS_{m}^{l}(\alpha ,\beta ,\gamma )\). In particular, we obtain integral means inequalities for the functions \(f\) that belongs to the class \(TS_{m}^{l}(\alpha ,\beta ,\gamma )\) in the unit disc.