Annales Academić Scientiarum Fennicć
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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