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涉及多重零点和极点的亚纯函数的正规性

Normality of Meromorphic Functions with Multiple Zeros and Poles

中文摘要英文摘要

设F是区域D内的一族亚纯函数,任意D内的函数f ,在区域 D内的零点重数至少为k+3 ,极点的重数至少为k+2(k大于等于0).如果对任意F中的f,g,D(f) 和D(g)在D内IM分担b ,其中b为非零常数,则F是正规的.

Let F be a family of meromorphic functions defined in a domain D such that for each f in D, f has no zero of multiplicity less than k+3 and no simple pole of multiplicity less than k+2 . If for each pair of functions f,g in D, D(f) and D(g) share the value b IM, where b is a non-zero complex number, then F is normal.

刘红军、黄小军、吴风兰

数学

亚纯函数正规族微分多项式.

Meromorphic functionsNormal familiesDifferential polynomial.

刘红军,黄小军,吴风兰.涉及多重零点和极点的亚纯函数的正规性[EB/OL].(2015-01-04)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201501-18.点此复制

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