Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2014; 51(6): 1773-1789

Printed November 30, 2014

https://doi.org/10.4134/BKMS.2014.51.6.1773

Copyright © The Korean Mathematical Society.

Notes on normal families of meromorphic functions sharing a set with their derivatives

Xiao-Min Li, Hong-Xun Yi, and Kai-Mei Wang

Ocean University of China, Shandong University, Ocean University of China

Abstract

We study the normality of families of meromorphic functions sharing a set consisting of two or three distinct finite values to improve and extend Theorem 1 in Liu-Pang \cite{15} and Theorem 1.1 in Liu-Chang \cite{16}. Examples are provided to show that the results in this paper, in a sense, are the best possible.

Keywords: meromorphic functions, shared values, shared sets, normal families

MSC numbers: 30D35, 30D30