亚纯函数与其微分多项式的分担值与正规族 |
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引用本文: | 刘红军,宫俊英.亚纯函数与其微分多项式的分担值与正规族[J].贵州师范大学学报(自然科学版),2012(4):71-74. |
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作者姓名: | 刘红军 宫俊英 |
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作者单位: | 重庆大学数学与统计学院; |
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摘 要: | 设F为区域D上的一族亚纯函数,所有的零点重级至少是k,b为有穷非零复数,n,k为两正整数,P是有三个互相判别的零点的多项式.如果任意函数f,g∈F,P(f)(fn)(k)和P(g)(gn)(k)在D内分担b,则F在D内正规.
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关 键 词: | 亚纯函数 正规族 分担值 |
Normality and shared values concerning meromorphic functions differential polynomials |
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Abstract: | Let F be a family of meromorphic functions in a domain D,all of whose zeros having multiplicities at least k,let b be a finite nonzero complex number,n,k be two positive integers,and let P be a polynomial with three distinct zeros.If each pair of functions f and g in F,Pffnk and Pggnk share b in D,then F is normal on D. |
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Keywords: | meromorphic functions normal families share value |
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