Fekete-Szegö and Hankel inequalities related to the sine function
The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are involved in the study of the singularities and...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Applied Mathematics in Science and Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2396832 |
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| author | Muhammad Ashfaq Afis Saliu Syed Zakar Hussain Bukhari Issra Batool |
| author_facet | Muhammad Ashfaq Afis Saliu Syed Zakar Hussain Bukhari Issra Batool |
| author_sort | Muhammad Ashfaq |
| collection | DOAJ |
| description | The Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are involved in the study of the singularities and integral coefficients in the Taylor series representations. In this investigation, we discuss such inequalities for certain mappings g for which [Figure: see text](g′(z))α[2zg′(z)g(z)−g(−z)](1−α)≺1+sinz,(0≤α≤1) lies in the image domain starlike about 1 and symmetric about real axis. Particularly, we obtain certain inequality for functions involving Poisson distribution. Furthermore, we also find the second Hankel determinant and other inequalities related to this newly defined class. |
| format | Article |
| id | doaj-art-a8272868da9d44579d3b8699bb2bf8ab |
| institution | Kabale University |
| issn | 2769-0911 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-a8272868da9d44579d3b8699bb2bf8ab2024-12-06T04:24:24ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2396832Fekete-Szegö and Hankel inequalities related to the sine functionMuhammad Ashfaq0Afis Saliu1Syed Zakar Hussain Bukhari2Issra Batool3Department of Mathematics, Mirpur University of Science and Technology(MUST), Mirpur, PakistanDepartment of Mathematics, University of The Gambia, Kanifing, The GambiaDepartment of Mathematics, Mirpur University of Science and Technology(MUST), Mirpur, PakistanDepartment of Mathematics, Mirpur University of Science and Technology(MUST), Mirpur, PakistanThe Fekete-Szegö inequality is one of the inequalities for the coefficients which associated with the famous Bieberbach conjecture. Other issues associated with this inequality are determining the Hankel determinant denoted as Hd inequalities which are involved in the study of the singularities and integral coefficients in the Taylor series representations. In this investigation, we discuss such inequalities for certain mappings g for which [Figure: see text](g′(z))α[2zg′(z)g(z)−g(−z)](1−α)≺1+sinz,(0≤α≤1) lies in the image domain starlike about 1 and symmetric about real axis. Particularly, we obtain certain inequality for functions involving Poisson distribution. Furthermore, we also find the second Hankel determinant and other inequalities related to this newly defined class.https://www.tandfonline.com/doi/10.1080/27690911.2024.2396832Subordinationcoefficient problemHankel determinant30C4530C80 |
| spellingShingle | Muhammad Ashfaq Afis Saliu Syed Zakar Hussain Bukhari Issra Batool Fekete-Szegö and Hankel inequalities related to the sine function Applied Mathematics in Science and Engineering Subordination coefficient problem Hankel determinant 30C45 30C80 |
| title | Fekete-Szegö and Hankel inequalities related to the sine function |
| title_full | Fekete-Szegö and Hankel inequalities related to the sine function |
| title_fullStr | Fekete-Szegö and Hankel inequalities related to the sine function |
| title_full_unstemmed | Fekete-Szegö and Hankel inequalities related to the sine function |
| title_short | Fekete-Szegö and Hankel inequalities related to the sine function |
| title_sort | fekete szego and hankel inequalities related to the sine function |
| topic | Subordination coefficient problem Hankel determinant 30C45 30C80 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2396832 |
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