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

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.