@Article{CMR-32-1,
author = {Wang, Qiong and Yuan, Wenjun and Wei, Chen and Tian, Honggen},
title = {Normality Criteria of Meromorphic Functions},
journal = {Communications in Mathematical Research },
year = {2016},
volume = {32},
number = {1},
pages = {88--96},
abstract = {<p style="text-align: justify;">In this paper, we consider normality criteria for a family of meromorphic
functions concerning shared values. Let&nbsp;$\mathcal{F}$&nbsp;be a family of meromorphic functions
defined in a domain $D, m, n, k$ and $d$ be four positive integers satisfying $m ≥ n + 2$ and $d ≥ \frac{k + 1}{m − n − 1}$, and $a(≠0), b$ be two finite constants. Suppose that every $f ∈ \mathcal{F}$
has all its zeros and poles of multiplicity at least $k$ and $d$, respectively. If $(f^n)^{(k)}−af^m$ and $(g^n)^{(k)}−ag^m$ share the value $b$ for every pair of functions $(f, g)$ of $\mathcal{F}$, then $\mathcal{F}$
is normal in $D$. Our results improve the related theorems of Schwick (Schwick W.
Normality criteria for families of meromorphic function. $J$. $Anal$. $Math$., 1989, <strong>52</strong>:
241–289), Li and Gu (Li Y T, Gu Y X. On normal families of meromorphic functions. $J$. $Math$. $Anal$. $Appl$., 2009, <strong>354</strong>: 421–425).</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2016.01.07},
url = {https://global-sci.com/article/81662/normality-criteria-of-meromorphic-functions}
}