Open Access
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).

Si: Some extensions of the four values theorem of Nevanlinna-Gundersen
Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics
Duc Quang Si "Some extensions of the four values theorem of Nevanlinna-Gundersen," Kodai Mathematical Journal 36(3), 579-595, (October 2013). https://doi.org/10.2996/kmj/1383660699
Published: October 2013
Vol.36 • No. 3 • October 2013
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