A Subclass of P-valent Uniformly Convex Functions with negative coefficient Defined by a Certain Linear Operator

In this paper a new subclass of p-valent uniformly convex functions with negative coefficients defined by a certain linear operator is introduced. Coefficient estimate, distortion theorems associated with fractional derivative operator are investigated for this class. Further class preserving integral operator, extreme points, radii of p-valently starlikely and convexity and other interesting properties for the said class have been determined.

(Mathematics Subject Classification: 30C45, 26A33 )