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Second Main Theorems for Meromorphic Mappings with Moving Hypersurfaces and a Uniqueness Problem

Second Main Theorems for Meromorphic Mappings with Moving Hypersurfaces and a Uniqueness Problem In this article, we establish some new second main theorems for meromorphic mappings of $${\mathbb {C}}^m$$ C m into $${\mathbb {P}}^{n}({\mathbb {C}})$$ P n ( C ) and moving hypersurfaces with truncated counting functions in the case where the meromorphic mappings may be algebraically degenerate. Our results are improvements of some recent results on second main theorem in the two cases of moving hyperplanes and of moving hypersurfaces. As an application, a unicity theorem for meromorphic mappings sharing moving hypersurfaces is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Second Main Theorems for Meromorphic Mappings with Moving Hypersurfaces and a Uniqueness Problem

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-017-0192-4
Publisher site
See Article on Publisher Site

Abstract

In this article, we establish some new second main theorems for meromorphic mappings of $${\mathbb {C}}^m$$ C m into $${\mathbb {P}}^{n}({\mathbb {C}})$$ P n ( C ) and moving hypersurfaces with truncated counting functions in the case where the meromorphic mappings may be algebraically degenerate. Our results are improvements of some recent results on second main theorem in the two cases of moving hyperplanes and of moving hypersurfaces. As an application, a unicity theorem for meromorphic mappings sharing moving hypersurfaces is given.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jan 30, 2017

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