Opuscula Math. 33, no. 2 (2013), 273-281
A unified representation of some starlike and convex harmonic functions with negative coefficients
R. M. El-Ashwah
M. K. Aouf
A. A. M. Hassan
A. H. Hassan
Abstract. In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions and convex combinations for this family.
Keywords: harmonic, analytic, univalent, sense-preserving, extreme points.
Mathematics Subject Classification: 30C45.