Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds
Yükleniyor...
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Nature
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Ruscheweyh derivative operator is used in this paper to introduce and investigate interesting general subclasses of the function class ?m of m-fold symmetric bi-univalent analytic functions. Estimates of the initial Taylor-Maclaurin coefficients |am+1| and |a2m+1| are obtained for functions of the subclasses introduced in this study, and the consequences of the results are discussed. Additionally, the Fekete-Szegö inequalities for these classes are investigated. The results presented could generalize and improve some recent and earlier works. In some cases, our estimates are better than the existing coefficient bounds. Furthermore, within the engineering domain, the utilization of the Ruscheweyh derivative operator can encompass a broad spectrum of engineering applications, including the robotic manipulation control, optimizing optical systems, antenna array signal processing, image compression, and control system filter design. It emphasizes the potential for innovative solutions that can significantly enhance the reliability and effectiveness of engineering applications.
Açıklama
Anahtar Kelimeler
26a51, 30c45, 30c50, 30c80, Analytic function, Coefficient bounds, Fekete-szegö inequality, M-Fold symmetric Bi-univalent function, M-Fold symmetric univalent function, Ruscheweyh derivative
Kaynak
Journal of Inequalities and Applications
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
2024
Sayı
1
Künye
Srivastava, H. M., Sabır, P. O., Eker, S. S., Wanas, A. B., Mohammed, P. O., Chorfi, N. ve diğerleri. (2024). Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds. Journal of Inequalities and Applications, 2024(1), 1-18.
