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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}.
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참고문헌 (11)
참고문헌 신청
D. A. Brannan / 1986 / On some classes of bi-univalent functions / Studia Univ. Babe_s-Bolyai Math 31(2):70~77
S. Bulut / 2013 / Coe_cient estimates for a class of analytic and bi-univalent functions / Novi Sad J. Math 43(2):59~65
S. Bulut / 2016 / Faber polynomial coe_cient estimates for a subclass of analytic bi-univalent functions / Filomat 30(6):1567~1575
M. C_ a_glar / 2013 / Coe_cient bounds for new subclasses of bi-univalent functions / Filomat 27(7):1165~1171
P. L. Duren / 1983 / Univalent Functions / Springer
S. Bulut / 2013 / Coe_cient estimates for a class of analytic and bi-univalent functions / Novi Sad J. Math 43(2):59~65
S. Bulut / 2016 / Faber polynomial coe_cient estimates for a subclass of analytic bi-univalent functions / Filomat 30(6):1567~1575
M. C_ a_glar / 2013 / Coe_cient bounds for new subclasses of bi-univalent functions / Filomat 27(7):1165~1171
P. L. Duren / 1983 / Univalent Functions / Springer
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