On a subclass of starlike functions associated with a vertical strip domain
Abstract In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-1988-8 |
| _version_ | 1819144710435897344 |
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| author | Yong Sun Zhi-Gang Wang Antti Rasila Janusz Sokół |
| author_facet | Yong Sun Zhi-Gang Wang Antti Rasila Janusz Sokół |
| author_sort | Yong Sun |
| collection | DOAJ |
| description | Abstract In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al. |
| first_indexed | 2024-12-22T12:46:28Z |
| format | Article |
| id | doaj.art-7264a1377592424296ecda876950ebd6 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-22T12:46:28Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-7264a1377592424296ecda876950ebd62022-12-21T18:25:18ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-02-012019111410.1186/s13660-019-1988-8On a subclass of starlike functions associated with a vertical strip domainYong Sun0Zhi-Gang Wang1Antti Rasila2Janusz Sokół3School of Science, Hunan Institute of EngineeringSchool of Mathematics and Computing Science, Hunan First Normal UniversityGuangdong Technion—Israel Institute of TechnologyFaculty of Mathematics and Natural Sciences, University of RzeszówAbstract In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class. Furthermore, we consider radius problems and inclusion relations involving certain classes of strongly starlike functions, parabolic starlike functions, and other types of starlike functions. The results are essential improvements of the corresponding results obtained by Kargar et al., and the derivations are similar to those used earlier by Sun et al. and Kwon et al.http://link.springer.com/article/10.1186/s13660-019-1988-8Analytic functionUnivalent functionStarlike functionDifferential subordination |
| spellingShingle | Yong Sun Zhi-Gang Wang Antti Rasila Janusz Sokół On a subclass of starlike functions associated with a vertical strip domain Journal of Inequalities and Applications Analytic function Univalent function Starlike function Differential subordination |
| title | On a subclass of starlike functions associated with a vertical strip domain |
| title_full | On a subclass of starlike functions associated with a vertical strip domain |
| title_fullStr | On a subclass of starlike functions associated with a vertical strip domain |
| title_full_unstemmed | On a subclass of starlike functions associated with a vertical strip domain |
| title_short | On a subclass of starlike functions associated with a vertical strip domain |
| title_sort | on a subclass of starlike functions associated with a vertical strip domain |
| topic | Analytic function Univalent function Starlike function Differential subordination |
| url | http://link.springer.com/article/10.1186/s13660-019-1988-8 |
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