Abstract and Applied Analysis (Jan 2014)

Differential Subordination Results for Analytic Functions in the Upper Half-Plane

  • Huo Tang,
  • M. K. Aouf,
  • Guan-Tie Deng,
  • Shu-Hai Li

DOI
https://doi.org/10.1155/2014/565727
Journal volume & issue
Vol. 2014

Abstract

Read online

There are many articles in the literature dealing with differential subordination problems for analytic functions in the unit disk, and only a few articles deal with the above problems in the upper half-plane. In this paper, we aim to derive several differential subordination results for analytic functions in the upper half-plane by investigating certain suitable classes of admissible functions. Some useful consequences of our main results are also pointed out.