TY - JOUR
T1 - Some Normality Criteria for Families of Meromorphic Functions
AU - Chen , Junfan
AU - Cai , Xiaohua
JO - Communications in Mathematical Research 
VL - 2
SP - 125
EP - 132
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.02.04
UR - https://global-sci.org/intro/article_detail/cmr/13518.html
KW - meromorphic function, normal family, multiple value, shared value
AB - <p style="text-align: justify;">Let $k$ be a positive integer and $\cal F$&nbsp;be a family of meromorphic functions
in a domain $D$ such that for each $f\in{\cal F}$, all poles of $f$ are of multiplicity at least 2,
and all zeros of $f$ are of multiplicity at least $k+1$. Let $a$ and $b$ be two distinct finite
complex numbers. If for each $f\in{\cal F}$, all zeros of $f^{(k)}-a$ are of multiplicity at least 2,
and for each pair of functions $f,\,g\in{\cal F}$, $f^{(k)}$
and $g^{(k)}$
share $b$ in $D$, then $\cal F$ is normal
in $D$.</p>