On one problem of uniqueness of meromorphic functions concerning small functions

Author:
Hong-Xun Yi

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1689-1697

MSC (2000):
Primary 30D35; Secondary 30D30

Published electronically:
October 17, 2001

MathSciNet review:
1887016

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we show that if two non-constant meromorphic functions and satisfy for , where are five distinct small functions with respect to and , and is a positive integer or with , then . As a special case this also answers the long-standing problem on uniqueness of meromorphic functions concerning small functions.

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Additional Information

**Hong-Xun Yi**

Affiliation:
Department of Mathematics, Shandong University, Jinan 250100, People’s Republic of China

Email:
hxyi@sdu.edu.cn

DOI:
http://dx.doi.org/10.1090/S0002-9939-01-06245-1

Keywords:
Meromorphic function,
small function,
uniqueness theorem

Received by editor(s):
September 22, 2000

Received by editor(s) in revised form:
December 1, 2000

Published electronically:
October 17, 2001

Additional Notes:
This work was supported by the NSFC (NO. 19871050) and the RFDP (No. 98042209).

Communicated by:
Juha M. Heinonen

Article copyright:
© Copyright 2001
American Mathematical Society