Coefficient estimates for a new general subclass of analytic bi-univalent functions
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In a very recent paper, Yousef \textit{et al}. [Anal. Math. Phys. 11: 58 (2021)] introduced two new subclasses of analytic and bi-univalent functions and obtained the estimates on the first two Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $ for functions belonging to these classes. In this study, we introduce a general subclass $\mathcal{B}_{\Sigma }^{h,p}\left( \lambda ,\mu ,\delta \right) $ of analytic and bi-univalent functions in the unit disk $\mathbb{U}$, and investigate the coefficient bounds for functions belonging to this general function class. Our results improve the results of the above mentioned paper of Yousef \textit{et al}.
Abstract
In a very recent paper, Yousef \textit{et al}. [Anal. Math. Phys. 11: 58 (2021)] introduced two new subclasses of analytic and bi-univalent functions and obtained the estimates on the first two Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $ for functions belonging to these classes. In this study, we introduce a general subclass $\mathcal{B}_{\Sigma }^{h,p}\left( \lambda ,\mu ,\delta \right) $ of analytic and bi-univalent functions in the unit disk $\mathbb{U}$, and investigate the coefficient bounds for functions belonging to this general function class. Our results improve the results of the above mentioned paper of Yousef \textit{et al}.
참고문헌 (11)
- D. A. Brannan, "On some classes of bi-univalent functions", Studia Univ. Babe_s-Bolyai Math, 31(2), pp.70~77 (1986)
- S. Bulut, "Coe_cient estimates for a class of analytic and bi-univalent functions", Novi Sad J. Math, 43(2), pp.59~65 (2013)
- S. Bulut, "Faber polynomial coe_cient estimates for a subclass of analytic bi-univalent functions", Filomat, 30(6), pp.1567~1575 (2016)
- M. C_ a_glar, "Coe_cient bounds for new subclasses of bi-univalent functions", Filomat, 27(7), pp.1165~1171 (2013)
- P. L. Duren, "Univalent Functions" (1983), Springer
- B. A. Frasin, "New subclasses of bi-univalent functions", Appl. Math. Lett, 24, pp.1569~1573 (2011)
- H. M. Srivastava, "Coe_cient estimates for a general subclass of analytic and bi-univalent functions", Filomat, 27(5), pp.831~842 (2013)
- H. M. Srivastava, "Certain subclasses of analytic and bi-univalent functions", Appl. Math. Lett, 23, pp.1188~1192 (2010)
- Q. -H. Xu, "Coe_cient estimates for a certain subclass of analytic and bi-univalent functions", Appl. Math. Lett, 25, pp.990~994 (2012)
- Q. -H. Xu, "A certain general subclass of analytic and bi-univalent functions and associated coe_cient estimate problems", Appl. Math. Comput, 218, pp.11461~11465 (2012)
- F. Yousef, "New subclasses of analytic and bi-univalent functions endowed with coe_cient estimate problems", Anal. Math. Phys, 11, pp.58~ (2021)