On the total length of Gamma-lines for rational functions

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-11-14 DOI:10.1080/17476933.2023.2280958

Yi C. Huang, Jian-Yang Zhang

引用次数: 0

Abstract

AbstractIn this paper, we present a simple direct proof of an integration lemma due to Barsegian, Sergeev and Montes-Rodrigues, and extend to rational functions their upper estimates on the total length of Gamma-lines in complex plane.KEYWORDS: Gamma-lineslevel setsrational functionsmeromorphic functionsAMS SUBJECT CLASSIFICATIONS: Primary 30C10Secondary 11C08 Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingResearch of the authors is supported by the National NSF grant of China (no. 11801274). YCH thanks Professor Barsegian for helpful and encouraging comments.

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关于有理函数的伽马线的总长度

摘要本文给出了Barsegian、Sergeev和Montes-Rodrigues的一个积分引理的简单直接证明，并将它们在复平面上对伽马线总长的上估计推广到有理函数。关键词:伽玛线水平集理性函数同胚函数主题分类:一级30c10二级11C08披露声明作者未报告潜在利益冲突。作者的研究得到中国国家自然科学基金(NSF)资助(no. 1)。11801274)。YCH感谢Barsegian教授的帮助和鼓励的意见。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.