Fixed Coefficients for Certain Subclass of Univalent Functions using Hypergeometric Function

C. Selvaraj, T. R. K. Kumar, Thirupathi

Abstract: By making use of the generalized di erential operator, we de ne a new subclass of uniformly starlike functions with negative coefficients and with fi xed second coefficient. The object of the present paper is to determine coecient estimates, distortion bounds, closure theorems and extreme points for functions f (z) belonging to this class.

Keywords: Univalent functions, coefficient estimates, uniformly starlike function, Hypergeometric function