Differential Subordination Results for Analytic Functions in the Upper Half-Plane. (25th February 2014)

• Record Type: Journal Article
• Authors: Tang, Huo; Aouf, M. K.; Deng, Guan-Tie; Li, Shu-Hai
• Other Names: Ravichandran V. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-25
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/565727
• Languages: English
• ISSNs: 1085-3375

Abstract

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.