On the uniqueness problem for meromorphic mappings with truncated multiplicities

Feng Lü

Annales Polonici Mathematici (2014)

  • Volume: 112, Issue: 2, page 165-179
  • ISSN: 0066-2216

Abstract

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The purpose of this paper is twofold. The first is to weaken or omit the condition d i m f - 1 ( H i H j ) m - 2 for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes H j such that f(z) = g(z) on j = 1 q f - 1 ( H j ) , where f,g are meromorphic mappings.

How to cite

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Feng Lü. "On the uniqueness problem for meromorphic mappings with truncated multiplicities." Annales Polonici Mathematici 112.2 (2014): 165-179. <http://eudml.org/doc/280890>.

@article{FengLü2014,
abstract = {The purpose of this paper is twofold. The first is to weaken or omit the condition $dim f^\{-1\}(H_i ∩ H_j) ≤ m-2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_j$ such that f(z) = g(z) on $⋃_\{j=1\}^\{q\}f^\{-1\}(H_j)$, where f,g are meromorphic mappings.},
author = {Feng Lü},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic mappings; truncated multiplicities; uniqueness theorems; hyperplanes; Nevanlinna theory},
language = {eng},
number = {2},
pages = {165-179},
title = {On the uniqueness problem for meromorphic mappings with truncated multiplicities},
url = {http://eudml.org/doc/280890},
volume = {112},
year = {2014},
}

TY - JOUR
AU - Feng Lü
TI - On the uniqueness problem for meromorphic mappings with truncated multiplicities
JO - Annales Polonici Mathematici
PY - 2014
VL - 112
IS - 2
SP - 165
EP - 179
AB - The purpose of this paper is twofold. The first is to weaken or omit the condition $dim f^{-1}(H_i ∩ H_j) ≤ m-2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_j$ such that f(z) = g(z) on $⋃_{j=1}^{q}f^{-1}(H_j)$, where f,g are meromorphic mappings.
LA - eng
KW - meromorphic mappings; truncated multiplicities; uniqueness theorems; hyperplanes; Nevanlinna theory
UR - http://eudml.org/doc/280890
ER -

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