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

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

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:565727
DOI: 10.1155/2014/565727
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