Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class
In this study we investigate the sharp radius of starlikeness of subclasses of Ma and Minda class for the ratio of analytic functions which are related to limaçon functions. This survey is connected also to the first-order differential subordinations. In this context, we get the condition on β for w...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8264693 |
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| author | Afis Saliu Kanwal Jabeen Isra Al-shbeil Semiu Oladipupo Oladejo Adriana Cătaş |
| author_facet | Afis Saliu Kanwal Jabeen Isra Al-shbeil Semiu Oladipupo Oladejo Adriana Cătaş |
| author_sort | Afis Saliu |
| collection | DOAJ |
| description | In this study we investigate the sharp radius of starlikeness of subclasses of Ma and Minda class for the ratio of analytic functions which are related to limaçon functions. This survey is connected also to the first-order differential subordinations. In this context, we get the condition on β for which certain differential subordinations associated with limaçon functions imply Ma and Minda starlike functions. Simple corollaries are provided for certain examples of our results. Finally, we present several geometries related to our study. |
| format | Article |
| id | doaj-art-7f3fdfc49db0410fb26d381ce6ef6ad4 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7f3fdfc49db0410fb26d381ce6ef6ad42025-08-20T02:08:43ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8264693Radius and Differential Subordination Results for Starlikeness Associated with Limaçon ClassAfis Saliu0Kanwal Jabeen1Isra Al-shbeil2Semiu Oladipupo Oladejo3Adriana Cătaş4Department of MathematicsBright Future International SchoolDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and Computer ScienceIn this study we investigate the sharp radius of starlikeness of subclasses of Ma and Minda class for the ratio of analytic functions which are related to limaçon functions. This survey is connected also to the first-order differential subordinations. In this context, we get the condition on β for which certain differential subordinations associated with limaçon functions imply Ma and Minda starlike functions. Simple corollaries are provided for certain examples of our results. Finally, we present several geometries related to our study.http://dx.doi.org/10.1155/2022/8264693 |
| spellingShingle | Afis Saliu Kanwal Jabeen Isra Al-shbeil Semiu Oladipupo Oladejo Adriana Cătaş Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class Journal of Function Spaces |
| title | Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class |
| title_full | Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class |
| title_fullStr | Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class |
| title_full_unstemmed | Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class |
| title_short | Radius and Differential Subordination Results for Starlikeness Associated with Limaçon Class |
| title_sort | radius and differential subordination results for starlikeness associated with limacon class |
| url | http://dx.doi.org/10.1155/2022/8264693 |
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