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Commun. Korean Math. Soc. 2024; 39(4): 851-858
Online first article October 15, 2024 Printed October 31, 2024
https://doi.org/10.4134/CKMS.c230270
Copyright © The Korean Mathematical Society.
Coefficient bounds using Faber Polynomial for a New Subclass of Meromorphic Bi-Univalent Functions
Thambidurai Janani 
, Sibel Yalçın
Vellore Institute of Technology; Bursa Uludag University
A recently introduced subclass of meromorphic bi-univalent functions class $\Sigma'$ is considered for the study and coefficient estimates $|b_0|, |b_1|$ and $|b_2|$ are determined in the present investigation. Further, the coefficient estimate $|b_n|$ is obtained for functions in the new subclass $\Sigma'$ using Faber polynomials. Various remarks of the results are also specified in generalized form.
Keywords: Bi-univalent functions, meromorphic bi-univalent functions, Faber polynomials, coefficient bounds
MSC numbers: Primary 30C45, 30C50
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