【摘要】 用简单的方法证明了全纯函数族的一个正规定则,推广了Montel正规定则.设F为区域D上的一个全纯函数族,其零点是重级的,a为有限复数.如果f,g∈F,有(f-1)f′与(g-1)g′分担a,则F正规.更多还原

【Abstract】 We get some normal criterions of holomorphic functions in a simple way.Let F be a family of holomorphic functions on domain D,all of whose zeros are multiple.Let a be a finite complex number.If for any f,g∈F,(f-1)f′ and(g-1)g′ IM share the value a in D,then F is normal on D.Which generalize the Montel criterion.更多还原