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Ultra-discrete equations and tropical counterparts of some complex analysis results

  • Min Feng Chen*
  • , Zong Sheng Gao
  • , Ji Long Zhang
  • *Corresponding author for this work
  • Beihang University

Research output: Contribution to journalArticlepeer-review

Abstract

A tropical version of Nevanlinna theory describes value distribution of continuous piecewise linear functions of a real variable. In this paper, we present some results on value distribution theory of tropical difference polynomials and uniqueness theory of tropical entire functions. Application to some ultra-discrete equations is also given.

Original languageEnglish
Pages (from-to)264-283
Number of pages20
JournalKodai Mathematical Journal
Volume41
Issue number2
DOIs
StatePublished - 2018

Keywords

  • Tropical Nevanlinna theory
  • Tropical entire functions
  • Ultra-discrete equations
  • Uniqueness
  • Value distribution

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