NORMAL FAMILIES AND DIFFERENTIAL POLYNOMIALS

作     者：杨乐 YANG LE (Institute of Mathematics, Academic Sinica, Beijing)

作者机构：Institute of Mathematics Academic Sinica Beijing 

出 版 物：《Science in China,Ser.A》 (中国科学A辑(英文版))

年 卷 期：1983年第7期

页      面：673-686页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：NORMAL FAMILIES AND DIFFERENTIAL POLYNOMIALS than 

摘      要：Let n,k be two positive integers such that n≥k+ 4 and let a be a finire non-zero complex value. Suppose further that is a family of meronlorphic functions in a region D and that aj（z） （j=1,2,…,k-1） are holomorphic in D. If for every f（z） ∈,fk（z）+sum from j=1 to 1-1 aj（z）fj（z）- af（z）ndoes not take a finite value（or it has a multiple value with multiplicity greater than[n/n-（k+3）]） and f（z） has a finite non-zero multiple value with multiplicity greater than k in D, then is normal there.