【摘要】 本文对域D内的亚纯函数族{f（z）},讨沦了其线性组合a₀f^（k）（z）+a₁f^（k-1）（z）+…+a_kf（z）在一定条件下的正规性（即本文定理2）,推广了文[1]的相应结论。更多还原

【Abstract】 In this paper we obtain following result:let F be a family of meromorphic functions in the region d, φ and Ψ be holomorphic functions in the D, in addition,Ψ（z）（?）a₀φ^（k）（z）+a₂φ^（k-2）（z）+…+a_kφ（z）.If for each f（z）∈F, we have f（z）≠φ（z）, a₀f^（k）+a₂f^（k-2）+…+a₂f≠Ψ（a₀, a₂,…, a_k are complex numbers a₀≠0, k is a natural number）, then F is normal in region D.更多还原