A Normality Criterion of Meromophic Functions Related to one Differential Polynomial Sharing a Non-zero Value

Let F be family of meromorphic functions defined on domain D in the complexplane,k be positive integer and be non-zero finite complex number such that each f∈F has zeros and poles of multiplicity at least k+2.Denote L(f)=a0(f)(k)+…+akf,where a0≠0,a1,…,ak are finite complex numbers.Suppose that L(f) and L(g) share a on D for any f and g in F,then F is normal family on D.