On a subfamily of $p$-valent functions with negative coefficients
S. R. Kulkarni, M. K. Aouf, S. B. Joshi
Abstract
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.
Keywords: $p$-valent function, distortion theorem, radius of convexity.