TY - JOUR
T1 - Normal Functions Concerning Shared Values
AU - Wang , Xiaojing
JO - Communications in Mathematical Research 
VL - 5
SP - 472
EP - 478
PY - 2021
DA - 2021/07
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19363.html
KW - shared value, normal family, normal function.
AB - <p style="text-align: justify;">In this paper we discuss normal functions concerning shared values. We
obtain the following result. Let&nbsp;$\mathcal{F}$&nbsp;be a family of meromorphic functions in the unit disc
∆, and $a$ be a nonzero finite complex number. If for any $f ∈\mathcal{F}$, the zeros of $f$ are
of multiplicity, $f$ and $f′$ share $a$, then there exists a positive number $M$ such that
for any $f ∈&nbsp;\mathcal{F}, (1 − |z|^2
)&nbsp;\frac{|f′(z)|}{1 + |f(z)|^2}&nbsp; ≤ M$.</p>