Annales Academiĉ Scientiarum Fennicĉ

Mathematica

Volumen 32, 2007, 141-149

# SOME RESULTS RELATED TO A CONJECTURE
OF R. BRÜCK CONCERNING MEROMORPHIC
FUNCTIONS SHARING ONE SMALL FUNCTION
WITH THEIR DERIVATIVES

## Ji-Long Zhang and Lian-Zhong Yang

Shandong University, School of Mathematics & System Sciences

Jinan, Shandong, 250100, P.R. China; jilong_zhang 'at' mail.sdu.edu.cn

Shandong University, School of Mathematics & System Sciences

Jinan, Shandong, 250100, P.R. China; lzyang 'at' sdu.edu.cn

**Abstract.**
In this paper, we investigate uniqueness problems of
meromorphic functions that share a small function with one of its
derivatives, and give some results which are related to a
conjecture of R. Brück, and also answer some questions of
Kit-Wing Yu.

**2000 Mathematics Subject Classification:**
Primary 30D35, 30D20.

**Key words:**
Meromorhic functions, small functions,
uniqueness.

**Reference to this article:** J.-L. Zhang and L.-Z. Yang:
Some results related to a conjecture of R. Brück concerning
meromorphic functions sharing one small function with their
derivatives.
Ann. Acad. Sci. Fenn. Math. 32 (2007), 141-149.

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