涉及一个微分多项式分担值的正规定则

应用正规族理论及Zalcman引理，推广了Yuntong Li和Yongxing Gu一个亚纯函数正规性的定理，得到了下面的定理，即：设罗为复平面上一区域D上的亚纯函数族，k，n≥k＋2为正整数，a为非零有穷复数，L（f^n）的表达式为a0（f^n）^k）＋a1（f^n）^（k-1）＋…＋ak（fn），其中a0≠0，a1，…，ak为复数，对任意的f，g∈F,L（fn），L（gn）在D内分担a，则矿在D上正规．

A Criterion for Meromorphic Functions Related to One of Its Differential Polynomials Sharing a Non-zero Value

In this paper, we mainly apply the theory of normal family and Zalcman＇s lemmas, and promote a theorem ＂on normal families of meromorphic functions＂, which promoted by Yuntong Li and Yongxing Gu. So we obtain the following result, that is： Let ~rbe a family of meromorphic functions defined on a domain D in the complex plane, k and n~k ＋ 2 be positive integers and a be a non-zero finite complex number. Denoting L （ff）＇s expression is a0 （f）（k） ＋ al （ff）（k- 1） ＋ ... ＋ ak （F）, where a0≠0,al ,＂＂ ,ak are finite complex numbers. Suppose that L （fn） and L（gn） share ＂a＂ on D for any f and g in：T, Then F is a normal family on D.