微分多项式的正规族与分担值
Normal Families and Shared Values concerning Differential Polynomial
设F为区域D内的亚纯函数族，其所有的零点重数至少为k＞＝１，若对任意f属于F和z属于D，都有 f(z)L(w(z)) = a <==>f(k)(z) = b （其中a(不等于0),b为复数，L(w(z))为微分多项式，m>=2为正整数），则F为区域D内的正规族．
Let F be a family of meromorphic functions on the plane domain D ,all of whose zeros have multiplicity at least k＞＝1 ,and if f(z)L(w(z)) = a <==>f(k)(z) = b for all f 2 F andz 2 D (where a 6= 0 and b are fixed complex numbers,L(w(z)) be a differential polynomial,m>=2 be a positive integer),then F is normal on D .
史仲春
数学
正规族，亚纯函数，分担值，微分多项式
normal familymeromophic functionshared valuedifferential polynomial.
史仲春.微分多项式的正规族与分担值[EB/OL].(2007-12-28)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200712-826.点此复制
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