Completely irreducible sequences of meromorphic functions

Shahar Nevo; Lawrence Zalcman

doi:10.1007/s11425-010-0049-z

Completely irreducible sequences of meromorphic functions

Shahar Nevo
, Lawrence Zalcman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a sequence {f_n} of meromorphic functions on a plane domain D, there exists a (possibly empty) open set U ⊂ D and a subsequence {fn_k} which converges uniformly (with respect to the spherical metric on ℂ̂) on compact subsets of U, while no subsequence of {fn_k} converges uniformly on compact subsets of any larger open subset of D.

Original language	English
Pages (from-to)	827-830
Number of pages	4
Journal	Science China Mathematics
Volume	53
Issue number	3
DOIs	https://doi.org/10.1007/s11425-010-0049-z
State	Published - 2010

Bibliographical note

Funding Information:
Acknowledgements This research is part of the European Science Foundation Networking Programme HCAA and was supported by Israel Science Foundation (Grant No. 395/07).

Funding

Acknowledgements This research is part of the European Science Foundation Networking Programme HCAA and was supported by Israel Science Foundation (Grant No. 395/07).

Funders	Funder number
European Science Foundation
Israel Science Foundation	395/07

Keywords

Convergence of sequences
Meromorphic functions

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10.1007/s11425-010-0049-z

Cite this

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abstract = "Given a sequence \{fn\} of meromorphic functions on a plane domain D, there exists a (possibly empty) open set U ⊂ D and a subsequence \{fnk\} which converges uniformly (with respect to the spherical metric on {\^ℂ}) on compact subsets of U, while no subsequence of \{fnk\} converges uniformly on compact subsets of any larger open subset of D.",

keywords = "Convergence of sequences, Meromorphic functions",

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KW - Convergence of sequences

KW - Meromorphic functions

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Completely irreducible sequences of meromorphic functions

Abstract

Bibliographical note

Funding

Keywords

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