## Hiroshima Mathematical Journal

### On unicity of meromorphic functions when two differential polynomials share one value

Chao Meng

#### Abstract

In this article, we deal with the uniqueness problems of meromorphic functions concerning differential polynomials and prove the following result: Let $f$ and $g$ be two nonconstant meromorphic functions and let $n(\geq 14)$ be an integer such that $n+1$ is not divisible by $3$. If $f^{n}(f^{3}-1)f'$ and $g^{n}(g^{3}-1)g'$ share $(1,2)$ or $(1,2)"$, then $f\equiv g$. If $\overline{E}_{4)}(1,f^{n}(f^{3}-1)f')=\overline{E}_{4)}(1,g^{n}(g^{3}-1)g')$ and $E_{2)}(1,f^{n}(f^{3}-1)f')=E_{2)}(1,g^{n}(g^{3}-1)g')$, then $f\equiv g$.

#### Article information

Source
Hiroshima Math. J., Volume 39, Number 2 (2009), 163-179.

Dates
First available in Project Euclid: 31 July 2009

Permanent link to this document
https://projecteuclid.org/euclid.hmj/1249046335

Digital Object Identifier
doi:10.32917/hmj/1249046335

Mathematical Reviews number (MathSciNet)
MR2543648

Zentralblatt MATH identifier
1182.30051

Subjects
Primary: 30D35: Distribution of values, Nevanlinna theory

#### Citation

Meng, Chao. On unicity of meromorphic functions when two differential polynomials share one value. Hiroshima Math. J. 39 (2009), no. 2, 163--179. doi:10.32917/hmj/1249046335. https://projecteuclid.org/euclid.hmj/1249046335