Korean J. Math. Vol. 29 No. 3 (2021) pp.519-526
DOI: https://doi.org/10.11568/kjm.2021.29.3.519

Coefficient estimates for a new general subclass of analytic bi-univalent functions

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Published: Sep 30, 2021
Keywords:
Analytic functions, Univalent functions, Bi-univalent functions, Coefficient bounds
Mathematics Subject Classification:
30C45

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Serap Bulut
Faculty of Aviation and Space Sciences, Kocaeli University, Arslanbey Campus, 41285 Kartepe-Kocaeli, Turkey

Abstract

In a very recent paper, Yousef 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 et al.



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