Communications of the
Korean Mathematical Society CKMS

In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman ~\cite{FZ} and Chen {\it et al.} \cite{CTZY} to a great extent.

Keywords: meromorphic functions, holomorphic functions, shared values, normal families

MSC numbers: 30D45