Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 249-260

A POWER OF A MEROMORPHIC FUNCTION SHARING A SMALL FUNCTION WITH ITS DERIVATIVE

Jilong Zhang and Lianzhong Yang

Shandong University, School of Mathematics & System Sciences
Jinan, Shandong, 250100, P.R. China; jilongzhang2007 'at' gmail.com

Shandong University, School of Mathematics & System Sciences
Jinan, Shandong, 250100, P.R. China

Abstract. In this paper, we investigate uniqueness problems of meromorphic functions that share a small function with one of their derivatives, and give some results which are related to a conjecture of Brück, and also improve several previous results.

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

Key words: Uniqueness theorems, shared value, small function.

Reference to this article: J. Zhang and L. Yang: A power of a meromorphic function sharing a small function with its derivative. Ann. Acad. Sci. Fenn. Math. 34 (2009), 249-260.

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