Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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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.

Coefficient estimates for a subclass of analytic bi-univalent functions

Ebrahim Analouei Adegani, Serap Bulut, Ahmad Zireh

Shahrood University of Technology, Faculty of Aviation and Space Sciences, Shahrood University of Technology

Abstract

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