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Completely irreducible sequences of meromorphic functions

Completely irreducible sequences of meromorphic functions
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摘要 Given a sequence {fn } of meromorphic functions on a plane domain D, there exists a (possibly empty) open set U■D and a subsequence {f n k } which converges uniformly (with respect to the spherical metric on ) on compact subsets of U, while no subsequence of {f n k } converges uniformly on compact subsets of any larger open subset of D. Given a sequence {fn } of meromorphic functions on a plane domain D, there exists a (possibly empty) open set U■D and a subsequence {f n k } which converges uniformly (with respect to the spherical metric on ) on compact subsets of U, while no subsequence of {f n k } converges uniformly on compact subsets of any larger open subset of D.
出处 《Science China Mathematics》 SCIE 2010年第3期827-830,共4页 中国科学:数学(英文版)
基金 the European Science Foundation Networking Programme HCAA supported by Israel Science Foundation (Grant No. 395/07)
关键词 MEROMORPHIC functions CONVERGENCE of SEQUENCES meromorphic functions convergence of sequences
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参考文献2

  • 1Chuang C T.Normal Families of Meromorphic Functions[]..1993
  • 2Gul S,Nevo S.Q α -normality with entire functions[]..

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