دورية أكاديمية
Initial Taylor-Maclaurin coefficient bounds and the Fekete-Szegö problem for subclasses of m-fold symmetric analytic bi-univalent functions
| العنوان: | Initial Taylor-Maclaurin coefficient bounds and the Fekete-Szegö problem for subclasses of m-fold symmetric analytic bi-univalent functions |
|---|---|
| المؤلفون: | Jadhav, Santosh Dnyandev, Patil, Amol Bhausaheb, Wani, Imtiyaz Ahmad |
| بيانات النشر: | Işık University Press |
| سنة النشر: | 2024 |
| المجموعة: | Işık Üniversitesi: DSpace Repository |
| مصطلحات موضوعية: | Analytic function, Univalent function, Bi-univalent function, Coefficient bound, M-fold symmetric function, Fekete-Szegö functional |
| الوصف: | In the present paper, we introduce two new subclasses of the m-fold symmetric, analytic and bi-univalent function class Σm defined in the open unit disk D₁ :={z : z ∈ C and |z| < 1}. These two subclasses are denoted by SΣm(α) and S*Σm(β). For the functions f belong to both of these subclasses, we obtain estimates on the first two Taylor-Maclaurin coefficients |am+1| and |a2m+1|. Also, we obtain estimate on the Fekete-Szegö functional |a2m+1 − ka2 m+1|, k ∈ R. It is interesting to see that the geometrical similarities in these two subclasses also reflects in their coefficient estimates. Further, we pointed out interconnection of these results with some of the earlier known results. ; Publisher's Version |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2146-1147 2587-1013 |
| العلاقة: | TWMS Journal Of Applied And Engineering Mathematics; Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı; Scopus; Emerging Sources Citation Index (ESCI); Jadhav, S. D., Patil, A. B. & Wani, I. A. (2024). Initial Taylor-Maclaurin coefficient bounds and the Fekete-Szegö problem for subclasses of m-fold symmetric analytic bi-univalent functions. TWMS Journal Of Applied And Engineering Mathematics, 14(1), 185-196.; https://hdl.handle.net/11729/5861Test; https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1165Test; 14; 185; 196 |
| الإتاحة: | https://hdl.handle.net/11729/5861Test https://jaem.isikun.edu.tr/web/index.php/archive/123-vol14no1/1165Test |
| حقوق: | info:eu-repo/semantics/openAccess ; Attribution-NonCommercial-NoDerivs 3.0 United States ; http://creativecommons.org/licenses/by-nc-nd/3.0/usTest/ |
| رقم الانضمام: | edsbas.EA5C989C |
| قاعدة البيانات: | BASE |
| تدمد: | 21461147 25871013 |
|---|