Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain
In this study, we establish a novel subclass of analytic functions connected to bounded turning functions and governed by an apple-shaped domain. For this class, we estimate sharp coefficient bounds, evaluate the sharp Fekete-Szegö functional, and derive sharp Hankel determinants of the second and t...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2025.2542642 |
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| author | Adeel Ahmad Sa’ud Al-Sa’di Muhammad Ali Alamri Akhter Rasheed Saqib Hussain Asad Ali Zainab Tanveer |
| author_facet | Adeel Ahmad Sa’ud Al-Sa’di Muhammad Ali Alamri Akhter Rasheed Saqib Hussain Asad Ali Zainab Tanveer |
| author_sort | Adeel Ahmad |
| collection | DOAJ |
| description | In this study, we establish a novel subclass of analytic functions connected to bounded turning functions and governed by an apple-shaped domain. For this class, we estimate sharp coefficient bounds, evaluate the sharp Fekete-Szegö functional, and derive sharp Hankel determinants of the second and third orders. Our work contributes to geometric function theory, where analytic functions are studied to understand their behavior over specific domains. Such investigations, particularly involving coefficient inequalities, have significant applications in complex analysis (univalent functions and conformal mappings), engineering (fluid flow problems and signal processing) and mathematical physics (potential theory and quasi-conformal mappings). The sharpness of these bounds makes them particularly valuable for solving extremal problems in the aforementioned areas. |
| format | Article |
| id | doaj-art-a3e842bfb17b4e4b8da3b0b022bb05b4 |
| institution | Kabale University |
| issn | 2576-5299 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-a3e842bfb17b4e4b8da3b0b022bb05b42025-08-20T03:44:18ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992025-12-0132127629010.1080/25765299.2025.2542642Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domainAdeel Ahmad0Sa’ud Al-Sa’di1Muhammad Ali Alamri2Akhter Rasheed3Saqib Hussain4Asad Ali5Zainab Tanveer6Department of Mathematics and Statistics, Hazara University Mansehra, KP, PakistanDepartment of Mathematics, Faculty of Science, The Hashemite University, Zarqa 13133, JordanDepartment of Mathematics and Sciences, Dhofar University, Salalah, OmanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, PakistanDepartment of Mathematics and Statistics, Hazara University Mansehra, KP, PakistanDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, PakistanIn this study, we establish a novel subclass of analytic functions connected to bounded turning functions and governed by an apple-shaped domain. For this class, we estimate sharp coefficient bounds, evaluate the sharp Fekete-Szegö functional, and derive sharp Hankel determinants of the second and third orders. Our work contributes to geometric function theory, where analytic functions are studied to understand their behavior over specific domains. Such investigations, particularly involving coefficient inequalities, have significant applications in complex analysis (univalent functions and conformal mappings), engineering (fluid flow problems and signal processing) and mathematical physics (potential theory and quasi-conformal mappings). The sharpness of these bounds makes them particularly valuable for solving extremal problems in the aforementioned areas.https://www.tandfonline.com/doi/10.1080/25765299.2025.2542642Analytic functionsapple-shaped domainFekete-Szegö inequalityHankel determinants |
| spellingShingle | Adeel Ahmad Sa’ud Al-Sa’di Muhammad Ali Alamri Akhter Rasheed Saqib Hussain Asad Ali Zainab Tanveer Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain Arab Journal of Basic and Applied Sciences Analytic functions apple-shaped domain Fekete-Szegö inequality Hankel determinants |
| title | Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain |
| title_full | Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain |
| title_fullStr | Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain |
| title_full_unstemmed | Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain |
| title_short | Sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple-shaped domain |
| title_sort | sharp coefficient inequalities and their applications for a class of analytic functions associated with an apple shaped domain |
| topic | Analytic functions apple-shaped domain Fekete-Szegö inequality Hankel determinants |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2025.2542642 |
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