Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions
Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Z...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1315252 |
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| _version_ | 1832546173846552576 |
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| author | Dong Guo Huo Tang Jun Zhang Qingbing Xu Zongtao Li |
| author_facet | Dong Guo Huo Tang Jun Zhang Qingbing Xu Zongtao Li |
| author_sort | Dong Guo |
| collection | DOAJ |
| description | Suppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J2,4f and J3,3f for the class ST1. |
| format | Article |
| id | doaj-art-0571537b56fe472fb3824fba81703e8c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0571537b56fe472fb3824fba81703e8c2025-02-03T07:23:37ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/1315252Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star FunctionsDong Guo0Huo Tang1Jun Zhang2Qingbing Xu3Zongtao Li4School of Mathematical SciencesSchool of Mathematics and Computer SciencesStudents’ Affairs OfficeDepartment of Basic CoursesFaculty of Humanities and Social SciencesSuppose that ST1 is a class of close-to-star functions. In this paper, we investigated the estimate of Zalcman functional on the logarithmic coefficients and the third Hankel determinant for the class ST1 with the determinant entry of logarithmic coefficients. Also, we obtained the sharp bounds of Zalcman functional J2,4f and J3,3f for the class ST1.http://dx.doi.org/10.1155/2024/1315252 |
| spellingShingle | Dong Guo Huo Tang Jun Zhang Qingbing Xu Zongtao Li Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions Journal of Mathematics |
| title | Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions |
| title_full | Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions |
| title_fullStr | Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions |
| title_full_unstemmed | Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions |
| title_short | Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions |
| title_sort | hankel determinants for the logarithmic coefficients of a subclass of close to star functions |
| url | http://dx.doi.org/10.1155/2024/1315252 |
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