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

Min Feng Chen; Zong Sheng Gao; Ji Long Zhang

doi:10.2996/kmj/1530496839

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

Min Feng Chen^*
, Zong Sheng Gao
, Ji Long Zhang

^*此作品的通讯作者

数学科学学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	264-283
页数	20
期刊	Kodai Mathematical Journal
卷	41
期	2
DOI	https://doi.org/10.2996/kmj/1530496839
出版状态	已出版 - 2018

访问文件

10.2996/kmj/1530496839

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{22c4d6c61b6949188c90e96f062db116,

title = "Ultra-discrete equations and tropical counterparts of some complex analysis results",

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.",

keywords = "Tropical Nevanlinna theory, Tropical entire functions, Ultra-discrete equations, Uniqueness, Value distribution",

author = "Chen, \{Min Feng\} and Gao, \{Zong Sheng\} and Zhang, \{Ji Long\}",

year = "2018",

doi = "10.2996/kmj/1530496839",

language = "英语",

volume = "41",

pages = "264--283",

journal = "Kodai Mathematical Journal",

issn = "0386-5991",

publisher = "Tokyo Institute of Technology",

number = "2",

}

TY - JOUR

T1 - Ultra-discrete equations and tropical counterparts of some complex analysis results

AU - Chen, Min Feng

AU - Gao, Zong Sheng

AU - Zhang, Ji Long

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Tropical Nevanlinna theory

KW - Tropical entire functions

KW - Ultra-discrete equations

KW - Uniqueness

KW - Value distribution

UR - https://www.scopus.com/pages/publications/85049803125

U2 - 10.2996/kmj/1530496839

DO - 10.2996/kmj/1530496839

M3 - 文章

AN - SCOPUS:85049803125

SN - 0386-5991

VL - 41

SP - 264

EP - 283

JO - Kodai Mathematical Journal

JF - Kodai Mathematical Journal

IS - 2

ER -

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

摘要

访问文件

其它文件与链接

学术指纹

引用此