Bull. Korean Math. Soc. 2018; 55(2): 405-413
Online first article January 11, 2018 Printed March 30, 2018
https://doi.org/10.4134/BKMS.b170051
Copyright © The Korean Mathematical Society.
Ebrahim Analouei Adegani, Serap Bulut, Ahmad Zireh
Shahrood University of Technology, Faculty of Aviation and Space Sciences, Shahrood University of Technology
In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass $ \Sigma(\tau,\gamma,\varphi)$ which is defined by subordination conditions in the open unit disk $\mathbb{U}$. In certain cases, our estimates improve some of those existing coefficient bounds.
Keywords: analytic functions, univalent functions, bi-univalent functions, coefficient estimates, Faber polynomials, subordination
MSC numbers: Primary 30C45, 30C80
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