The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains
The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality,...
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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/10.1155/2022/2229960 |
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author | Pongsakorn Sunthrayuth Naveed Iqbal Muhammad Naeem Yousef Jawarneh Sallieu K. Samura |
author_facet | Pongsakorn Sunthrayuth Naveed Iqbal Muhammad Naeem Yousef Jawarneh Sallieu K. Samura |
author_sort | Pongsakorn Sunthrayuth |
collection | DOAJ |
description | The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete-Szegö inequality along with D2,1Gg/2 and D2,2Gg/2. Importantly, all of these bounds are shown to be sharp. |
format | Article |
id | doaj-art-745cea6de4594429ac6b081843e71cce |
institution | Kabale University |
issn | 2314-8888 |
language | English |
publishDate | 2022-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Function Spaces |
spelling | doaj-art-745cea6de4594429ac6b081843e71cce2025-02-03T05:50:37ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2229960The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped DomainsPongsakorn Sunthrayuth0Naveed Iqbal1Muhammad Naeem2Yousef Jawarneh3Sallieu K. Samura4Department of Mathematics and Computer ScienceDepartment of MathematicsDeanship of Joint First Year Umm Al-Qura University MakkahDepartment of MathematicsDepartment of Mathematics and StatisticsThe present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete-Szegö inequality along with D2,1Gg/2 and D2,2Gg/2. Importantly, all of these bounds are shown to be sharp.http://dx.doi.org/10.1155/2022/2229960 |
spellingShingle | Pongsakorn Sunthrayuth Naveed Iqbal Muhammad Naeem Yousef Jawarneh Sallieu K. Samura The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains Journal of Function Spaces |
title | The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains |
title_full | The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains |
title_fullStr | The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains |
title_full_unstemmed | The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains |
title_short | The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains |
title_sort | sharp upper bounds of the hankel determinant on logarithmic coefficients for certain analytic functions connected with eight shaped domains |
url | http://dx.doi.org/10.1155/2022/2229960 |
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