摘要
In this paper, we study right half-plane harmonic mappings f(0) and f, where f(0) is fixed and f is such that its dilatation of a conformal automorphism of the unit disk. We obtain a sufficient condition for the convolution of such mappings to be convex in the direction of the real axis. The result of the paper is a generalization of the result of by Li and Ponnusamy [11], which itself originates from a problem posed by Dorff et al. in [7].
- 出版日期2015
- 单位湖南大学