Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2017; 32(2): 389-397

Online first article March 27, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160130

Copyright © The Korean Mathematical Society.

Coefficient estimates for certain subclass of meromorphic and bi-univalent functions

Safa Salehian and Ahmad Zireh

Shahrood University of Technology, Shahrood University of Technology

Abstract

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on $\Delta = \{z\in \mathbb C : 1<|z| <\infty \}$. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Keywords: meromorphic functions, meromorphic bi-univalent functions, coefficient estimates

MSC numbers: Primary 30C45; Secondary 30C50