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.

Bibliographic Details
Main Authors: In Hwa Kim, Young Jae Sim, Nak Eun Cho
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-1970-5
_version_ 1811286942578376704
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