【摘要】 设F为单位圆盘Δ上的一个全纯函数族,M,N为两个正实数.如果对于任意的f∈F,f的零点重级≥m,且f（z）=0|f^（m）（z）|≤M,f^（m）（z）=1|f（z）|≥N,则F在Δ上正规.更多还原

【Abstract】 A normality criterion for a family of holomorphic functions was got.Let F be a family of holomorphic functions on the unit diskΔ,all of whose zeros are of multiplicity at least m;let M,N be two positive numbers;if for any f∈F,f（z）=0|f^m（z）|≤M,f^m（z）=1f（z）|≥N, then F is normal onΔ.更多还原