New criteria for Carathéodory functions
Abstract The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases.
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2019-01-01
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Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-019-1970-5 |
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author | In Hwa Kim Young Jae Sim Nak Eun Cho |
author_facet | In Hwa Kim Young Jae Sim Nak Eun Cho |
author_sort | In Hwa Kim |
collection | DOAJ |
description | Abstract The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases. |
first_indexed | 2024-04-13T03:08:54Z |
format | Article |
id | doaj.art-907e12d4ec59482eaada33c80e31c246 |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-04-13T03:08:54Z |
publishDate | 2019-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-907e12d4ec59482eaada33c80e31c2462022-12-22T03:05:08ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-01-012019111610.1186/s13660-019-1970-5New criteria for Carathéodory functionsIn Hwa Kim0Young Jae Sim1Nak Eun Cho2Department of Economics, Middle Tennessee State UniversityDepartment of Mathematics, Kyungsung UniversityDepartment of Applied Mathematics, Pukyong National UniversityAbstract The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases.http://link.springer.com/article/10.1186/s13660-019-1970-5Analytic functionsUnivalent functionsStarlike functionsDifferential subordinationCarathéodory function |
spellingShingle | In Hwa Kim Young Jae Sim Nak Eun Cho New criteria for Carathéodory functions Journal of Inequalities and Applications Analytic functions Univalent functions Starlike functions Differential subordination Carathéodory function |
title | New criteria for Carathéodory functions |
title_full | New criteria for Carathéodory functions |
title_fullStr | New criteria for Carathéodory functions |
title_full_unstemmed | New criteria for Carathéodory functions |
title_short | New criteria for Carathéodory functions |
title_sort | new criteria for caratheodory functions |
topic | Analytic functions Univalent functions Starlike functions Differential subordination Carathéodory function |
url | http://link.springer.com/article/10.1186/s13660-019-1970-5 |
work_keys_str_mv | AT inhwakim newcriteriaforcaratheodoryfunctions AT youngjaesim newcriteriaforcaratheodoryfunctions AT nakeuncho newcriteriaforcaratheodoryfunctions |