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 |a2| and |a3| for functions belonging to these classes. In this study, we introduce a general subclass BΣh,p(λ,μ,δ) of analytic and bi-univalent functions in the unit disk 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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