Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2013; 50(4): 1209-1219

Printed July 1, 2013

https://doi.org/10.4134/BKMS.2013.50.4.1209

Copyright © The Korean Mathematical Society.

A note on the hyper-order of entire functions

Feng Lu and Jianming Qi

China University of Petroleum, Shanghai dianji university

Abstract

In the paper, we have two purposes. Firstly, we estimate the hyper-order of an entire function which shares two functions with it's first derivative, and two examples are given to show the conclusion is sharp. Secondly, we generalize the Br\"{u}ck conjecture with the idea of sharing functions.

Keywords: complex differential equation, normal family, Nevanlinna theory

MSC numbers: 30D35, 30D45