涉及例外函数与分担值的正规族

A Normal Family Related to Shared Value and Exceptional Function

研究一族全纯函数的正规族,得到了相应的正规定则:设F是区域D内的全纯函数族,L(z)是区域D内的连续函数,h(z)(0)是区域D内的全纯函数.若对于F中的每一个函数f有f(z)≠L(z),f′(z)≠h(z),且当f(z)=0时f′(z)=a,其中ah(z)∈C-R,则F在D内正规.

The normal family of holomorphic functions is investigated in the notes,and the related theorem is obtained： Let F be a family of holomorphic functions,L（z） be a continuous function,and h（z）（■0） be a holomorphic function on domain D.For each f∈F,if f（z）≠L（z）,f′（z）≠h（z） and f′（z）=a as f（z）=0,where the complex number a satisfies ah（z）∈C-R,then F is normal in the domain D.