Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2007; 44(4): 623-629

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

Uniqueness of entire functions and differential polynomials

Junfeng Xu, Hongxun Yi

Shandong University, Shandong University

Abstract

In this paper, we study the uniqueness of entire functions and prove the following result: Let $f$ and $g$ be two nonconstant entire functions, $n, m$ be positive integers. If $f^n(f^m-1)f'$ and $g^n(g^m-1)g'$ share 1 IM and $n>4m+11$, then $f\equiv g$. The result improves the result of Fang-Fang.

Keywords: uniqueness, entire function, sharing values

MSC numbers: 30D35