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TROPICAL VARIANTS OF SOME COMPLEX ANALYSIS RESULTS.

Authors :
Ilpo Laine
Kai Liu
Kazuya Tohge
Source :
Annales Academiae Scientiarum Fennicae. Mathematica. 2016, Vol. 41 Issue 2, p923-946. 24p. 6 Graphs.
Publication Year :
2016

Abstract

Tropical Nevanlinna theory studies value distribution of continuous piecewise linear functions of a real variable. In this paper, we use the reasoning from tropical Nevanlinna theory to present tropical counterparts of some classical complex results related to Format type equations, Hayman conjecture and Brück conjecture. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICAL complex analysis
*VALUE distribution theory
*NEVANLINNA theory
*PIECEWISE linear topology
*REAL variables

Details

Language :
English
ISSN :
1239629X
Volume :
41
Issue :
2
Database :
Academic Search Index
Journal :
Annales Academiae Scientiarum Fennicae. Mathematica
Publication Type :
Academic Journal
Accession number :
116339215
Full Text :
https://doi.org/10.5186/aasfm.2016.4159
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