Academic Journal
On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation
| العنوان: | On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation |
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| المؤلفون: | Daniel Breaz, Prathviraj Sharma, Srikandan Sivasubramanian, Sheza M. El-Deeb |
| المصدر: | Mathematics, Vol 11, Iss 4376, p 4376 (2023) |
| بيانات النشر: | MDPI AG |
| سنة النشر: | 2023 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | analytic, univalent, close-to-convex function of order γ, close-to-convex function, bounded boundary rotations, coefficient estimates, Mathematics, QA1-939 |
| الوصف: | In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with bounded boundary rotation. By choosing special bi-convex functions, the authors obtain the first three initial coefficient bounds in the last section. The authors also verify the special cases where the familiar Brannan and Clunie’s conjecture is satisfied. Furthermore, the famous Fekete–Szegö inequality is also obtained for this new class of functions. Apart from the new interesting results, some of the results presented here improves the earlier results existing in the literature. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 2227-7390 |
| Relation: | https://www.mdpi.com/2227-7390/11/20/4376; https://doaj.org/toc/2227-7390; https://doaj.org/article/987bedb13ab944bfa49862d8df6ed90c |
| DOI: | 10.3390/math11204376 |
| الاتاحة: | https://doi.org/10.3390/math11204376 https://doaj.org/article/987bedb13ab944bfa49862d8df6ed90c |
| رقم الانضمام: | edsbas.B330CB50 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 22277390 |
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| DOI: | 10.3390/math11204376 |