## Abstract and Applied Analysis

### Some Normal Criteria about Shared Values with Their Multiplicity Zeros

#### Abstract

Let $\mathcal{F}$ be a family of meromorphic functions in the domain $D$, all of whose zeros are multiple. Let $\mathrm{n }(n\ge 2)$ be an integer and let $a$, $b$ be two nonzero finite complex numbers. If $f+a(f')^{n}$ and $g+a(g')^{n}$ share $b$ in $D$ for every pair of functions $f,g\in \mathcal{F}$, then $\mathcal{F}$ is normal in $D$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 147878, 14 pages.

Dates
First available in Project Euclid: 12 August 2011

https://projecteuclid.org/euclid.aaa/1313170941

Digital Object Identifier
doi:10.1155/2010/147878

Mathematical Reviews number (MathSciNet)
MR2754197

Zentralblatt MATH identifier
1207.30025

#### Citation

Qi, Jianming; Zhu, Taiying. Some Normal Criteria about Shared Values with Their Multiplicity Zeros. Abstr. Appl. Anal. 2010 (2010), Article ID 147878, 14 pages. doi:10.1155/2010/147878. https://projecteuclid.org/euclid.aaa/1313170941