The various results, which are presented in this paper, would generalize those in related works of several earlier authors.******************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
📌 3 Key Takeaways
🎯
Objective & Hypothesis:In this paper, we obtain the Fekete-Szegö inequality for the generalized bi-subordinate functions of complex order.
📊
Key Findings & Data:In this paper, we obtain the Fekete-Szegö inequality for the generalized bi-subordinate functions of complex order.
💡
Conclusion & Impact:The various results, which are presented in this paper, would generalize those in related works of several earlier authors.******************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
In this paper, we obtain the Fekete-Szegö inequality for the generalized bi-subordinate functions of complex order. The various results, which are presented in this paper, would generalize those in related works of several earlier authors.******************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
KAZIMOĞLU, S., DENİZ, E. (2022). Fekete-Szegö problem for generalized bi-subordinate functions of complex order. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1695–1705. https://ajindex.com/articles/529673
R.M. Ali, S.K. Lee, V. Ravichandran, and S. Supramaniam, Coefficient estimates for bi-univalent Ma–Minda starlike and convex functions, Appl. Math. Lett. 25, 344–351, 2012
D.A. Brannan, and T.S. Taha, On some classes of bi-univalent functions, Studia Univ. Babe-Bolyai Math. 31, 70-77, 1986
S. Bulut, Coefficient estimates for a subclass of parabolic bi-starlike functions, Afr. Math. 29, 331-338, 2018
M. Çağlar, H. Orhan and N. Yağmur, Coefficient bounds for new subclasses of biunivalent functions, Filomat 27, 1165-1171, 2013
E. Deniz, Certain subclasses of bi-univalent functions satisfying subordinate conditions, J. Class. Anal. 2, 49–60, 2013
B.A. Frasin and M.K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24, 1569–1573, 2011
J.M. Jahangiri and S.G. Hamidi, Coefficient estimates for certain classes of biunivalent functions, Int. J. Math. Math. Sci. Article ID 190560, 4 pp. 2013
J.M. Jahangiri, S.G. Hamidi and S.A. Halim, Coefficients of bi-univalent functions with positive real part derivatives, Bull. Malay. Math. Sci. Soc. 37, 633-640, 2014
J.M. Jahangiri, N. Magesh and J. Yamini, Fekete–Szegö inequalities for classes of bi-starlike and bi-convex functions, Electron. J. Math. Anal. Appl. 3, 133–140, 2015
F.R. Keogh and E.P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20, 8–12, 1969
S.S. Kumar, V. Kumar and V. Ravichandran, Estimates for the initial coefficients of bi-univalent functions, Tamsui Oxford J. Inform. Math. Sci. 29, 487–504, 2013
W.C. Ma and D. Minda, A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis, Tianjin, 1992; Conf. Proc. Lecture. Notes Anal. I, Int Press, Cambridge, MA, 157–169, 1994
H. Orhan, N. Magesh and V.K. Balaji, Fekete–Szegö problem for certain classes of Ma-Minda bi-univalent functions, Afr. Math. 27, 889–897, 2016
V. Ravichandran, Y. Polatoğlu, M. Bolcal and A. Şen, Certain subclasses of starlike and convex functions of complex order, Hacettepe J. Math. Stat. 34, 9–15, 2005
H.M. Srivastava, S. Bulut, M. Çağlar and N. Yağmur, Coefficient estimates for a general subclass of analytic and bi-univalent functions, Filomat 27, 831-842, 2013
H.M. Srivastava, S.S Eker, and R.M. Ali, Coefficient bounds for a certain class of analytic and bi-univalent functions, Filomat 29, 1839–1845, 2015