Normal families of meromorphic functions sharing one function

Suppose is a holomorphic function, the multiplicity of its zeros is at most d, is a nonconstant polynomial. Let ℱ be a family of meromorphic functions in a domain D, all of whose zeros and poles have multiplicity at least . If for each pair of functions f and g in ℱ, and share a holomorphic function , then ℱ is normal in D. It generalizes and extends the results of Jiang, Gao and Wu, Xu. MSC:30D35, 30D45.