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与分担值有关的正规定则 |
A Nomoility Criterion Concerning on Shared Values |
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DOI:10.3969/j.issn.1671-5322.2007.03.017 |
中文关键词: 亚纯函数 分担值 正规定则 |
英文关键词: meromorphic functions shared values normal critieria |
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中文摘要: |
设F为单位圆盘上的一族亚纯函数,a非零有穷复数,k为任一正整数,若对每一f∈F,f零点的重数≥k+1(k≥2),极点重数≥2,f′和f(k)IM分担值a,则F在单位圆盘上正规. |
英文摘要: |
Let F be a family of meromorphic functions on the disk unit,a letbe no zero finite complex number and k as a positive integer,if for every f∈F all of whose zeros is of multiplicity at least ≥k+1(k≥2),whose pole at least two,f′and f(k) IM share a,then F is normal in the flat disk. |
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