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

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 fu...

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Main Authors: Huo Tang, M. K. Aouf, Guan-Tie Deng, Shu-Hai Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/565727
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author Huo Tang
M. K. Aouf
Guan-Tie Deng
Shu-Hai Li
author_facet Huo Tang
M. K. Aouf
Guan-Tie Deng
Shu-Hai Li
author_sort Huo Tang
collection DOAJ
description 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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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-3774a4ceb66642dcaefc4494238df6b42025-02-03T06:00:41ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/565727565727Differential Subordination Results for Analytic Functions in the Upper Half-PlaneHuo Tang0M. K. Aouf1Guan-Tie Deng2Shu-Hai Li3School of Mathematics and Statistics, Chifeng University, Chifeng, Inner Mongolia 024000, ChinaDepartment of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptSchool of Mathematical Sciences, Beijing Normal University, Beijing 100875, ChinaSchool of Mathematics and Statistics, Chifeng University, Chifeng, Inner Mongolia 024000, ChinaThere 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.http://dx.doi.org/10.1155/2014/565727
spellingShingle Huo Tang
M. K. Aouf
Guan-Tie Deng
Shu-Hai Li
Differential Subordination Results for Analytic Functions in the Upper Half-Plane
Abstract and Applied Analysis
title Differential Subordination Results for Analytic Functions in the Upper Half-Plane
title_full Differential Subordination Results for Analytic Functions in the Upper Half-Plane
title_fullStr Differential Subordination Results for Analytic Functions in the Upper Half-Plane
title_full_unstemmed Differential Subordination Results for Analytic Functions in the Upper Half-Plane
title_short Differential Subordination Results for Analytic Functions in the Upper Half-Plane
title_sort differential subordination results for analytic functions in the upper half plane
url http://dx.doi.org/10.1155/2014/565727
work_keys_str_mv AT huotang differentialsubordinationresultsforanalyticfunctionsintheupperhalfplane
AT mkaouf differentialsubordinationresultsforanalyticfunctionsintheupperhalfplane
AT guantiedeng differentialsubordinationresultsforanalyticfunctionsintheupperhalfplane
AT shuhaili differentialsubordinationresultsforanalyticfunctionsintheupperhalfplane