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http://dx.doi.org/10.11568/kjm.2021.29.3.519

COEFFICIENT ESTIMATES FOR A NEW GENERAL SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS  

Bulut, Serap (Faculty of Aviation and Space Sciences, Kocaeli University, Arslanbey Campus)
Publication Information
Korean Journal of Mathematics / v.29, no.3, 2021 , pp. 519-526 More about this Journal
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 𝔅h,pΣ(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.
Keywords
Analytic function; univalent function; bi-univalent function; coefficient bounds;
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