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October 2013 Some extensions of the four values theorem of Nevanlinna-Gundersen
Duc Quang Si
Kodai Math. J. 36(3): 579-595 (October 2013). DOI: 10.2996/kmj/1383660699

Abstract

Nevanlinna showed that two distinct non-constant meromorphic functions on C must be linked by a Möbius transformation if they have the same inverse images counted with multiplicities for four distinct values. Later on, Gundersen generalized the result of Nevanlinna to the case where two meromorphic functions share two values ignoring multiplicity and share other two values with counting multiplicities. In this paper, we will extend the results of Nevanlinna-Gundersen to the case of two holomorphic mappings into Pn(C) sharing (n + 1) hyperplanes ignoring multiplicity and other (n + 1) hyperplanes with multiplicities counted to level 2 or (n + 1).

Citation

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Duc Quang Si. "Some extensions of the four values theorem of Nevanlinna-Gundersen." Kodai Math. J. 36 (3) 579 - 595, October 2013. https://doi.org/10.2996/kmj/1383660699

Information

Published: October 2013
First available in Project Euclid: 5 November 2013

zbMATH: 1279.32017
MathSciNet: MR3161557
Digital Object Identifier: 10.2996/kmj/1383660699

Rights: Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics

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Vol.36 • No. 3 • October 2013
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