Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2013; 50(5): 1531-1538

Printed September 1, 2013

https://doi.org/10.4134/BKMS.2013.50.5.1531

Copyright © The Korean Mathematical Society.

Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions

Trailokya Panigrahi

Kiit University

Abstract

In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:= \{z \in \mathbb{C}: 1<|z|<\infty\}$ whose inverse $f^{-1}(w)$ is also univalent meromorphic in $\tilde{\Delta}$. Estimates for the initial coefficients are obtained for the functions in these new subclasses.

Keywords: meromorphic functions, univalent functions, bi-univalent functions, inverse functions, coefficient bounds

MSC numbers: Primary 30C45; Secondary 30C80