On a Subfamily of P-valent Functions With Negative Coefficients


S._R. Kulkarni, M._K. Aouf, S._B. Joshi


Sharp results concerning coefficients, distortion theorem and the radius of convexity for the class $P_p^*(\alpha,\beta,\xi)$ are determined. Furthermore it is shown that the class $P_p^*(\alpha,\beta,\xi)$ is closed under convex linear combinations. The extreme points of $P_p^*(\a,\b,\xi)$ are also determined.