## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Unicity of meromorphic functions related to their derivatives

#### Abstract

In this paper, we shall study the unicity of meromorphic functions defined over non-Archimedean fields of characteristic zero such that their valence functions of poles grow slower than their characteristic functions. If $f$ is such a function, and $f$ and a linear differential polynomial $P(f)$ of $f$, whose coefficients are meromorphic functions growing slower than $f$, share one finite value $a$ CM, and share another finite value $b\ (\not=a)$ IM, then $P(f)=f$.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 14, Number 5 (2007), 905-918.

Dates
First available in Project Euclid: 17 December 2007

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1197908902

Mathematical Reviews number (MathSciNet)
MR2378996

Zentralblatt MATH identifier
1181.30018

#### Citation

Han, Qi; Hu, Pei-Chu. Unicity of meromorphic functions related to their derivatives. Bull. Belg. Math. Soc. Simon Stevin 14 (2007), no. 5, 905--918. https://projecteuclid.org/euclid.bbms/1197908902