Journal of Applied Mathematics and Stochastic Analysis 
Volume 15 (2002), Issue 1, Pages 23-28
doi:10.1155/S1048953302000023

Harmonic close-to-convex mappings

Jay M. Jahangiri1 and Herb Silverman2

1Kent State University, Department of Mathematics, Burton 44021-9500, OH, USA
2College of Charleston, Department of Mathematics, Charleston 29424-0001, SC, USA

Received 1 October 1999; Revised 1 May 2000

Abstract

Sufficient coefficient conditions for complex functions to be close-to-convex harmonic or convex harmonic are given. Construction of close-to-convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.