International Journal of Mathematics and Mathematical Sciences (Jan 2002)

Certain convex harmonic functions

  • Yong Chan Kim,
  • Jay M. Jahangiri,
  • Jae Ho Choi

DOI
https://doi.org/10.1155/s0161171202007585
Journal volume & issue
Vol. 29, no. 8
pp. 459 – 465

Abstract

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We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.