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Computational Methods and Function Theory最新文献

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Explosion Points and Topology of Julia Sets of Zorich Maps Zorich映射的Julia集的爆炸点和拓扑
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-07-05 DOI: 10.1007/s40315-022-00458-0
Athanasios Tsantaris
{"title":"Explosion Points and Topology of Julia Sets of Zorich Maps","authors":"Athanasios Tsantaris","doi":"10.1007/s40315-022-00458-0","DOIUrl":"https://doi.org/10.1007/s40315-022-00458-0","url":null,"abstract":"<p>Zorich maps are higher dimensional analogues of the complex exponential map. For the exponential family <span>(lambda e^z)</span>, <span>(lambda &gt;0)</span>, it is known that for small values of <span>(lambda )</span> the Julia set is an uncountable collection of disjoint curves. The same was shown to hold for Zorich maps by Bergweiler and Nicks. In this paper we introduce a topological model for the Julia sets of certain Zorich maps, similar to the so called <i>straight brush</i> of Aarts and Oversteegen. As a corollary we show that <span>(infty )</span> is an <i>explosion point</i> for the set of endpoints of the Julia sets. Moreover we introduce an object called a <i>hairy surface</i> which is a compactified version of the Julia set of Zorich maps and we show that those objects are not uniquely embedded in <span>(mathbb {R}^3)</span>, unlike the corresponding two dimensional objects which are all ambiently homeomorphic.</p>","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138519694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An Entire Function that Shares a Small Function with its Derivative and Linear Differential Polynomial 一个完整的函数，与它的导数和线性微分多项式共享一个小函数
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-06-24 DOI: 10.1007/s40315-022-00452-6
I. Lahiri
{"title":"An Entire Function that Shares a Small Function with its Derivative and Linear Differential Polynomial","authors":"I. Lahiri","doi":"10.1007/s40315-022-00452-6","DOIUrl":"https://doi.org/10.1007/s40315-022-00452-6","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89537822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
One Component Bounded Functions 单分量有界函数
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-06-04 DOI: 10.1007/s40315-023-00477-5
Carlo Bellavita, A. Nicolau
{"title":"One Component Bounded Functions","authors":"Carlo Bellavita, A. Nicolau","doi":"10.1007/s40315-023-00477-5","DOIUrl":"https://doi.org/10.1007/s40315-023-00477-5","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82604083","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Radius Problems for Functions Containing Derivatives of Bessel Functions 包含贝塞尔函数导数的函数的半径问题
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-05-31 DOI: 10.1007/s40315-022-00455-3
S. Kazımoğlu, E. Deniz
{"title":"Radius Problems for Functions Containing Derivatives of Bessel Functions","authors":"S. Kazımoğlu, E. Deniz","doi":"10.1007/s40315-022-00455-3","DOIUrl":"https://doi.org/10.1007/s40315-022-00455-3","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89831093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On Bernstein Inequality via Chebyshev Polynomial 基于Chebyshev多项式的Bernstein不等式
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-05-23 DOI: 10.1007/s40315-022-00454-4
Yi C. Huang
{"title":"On Bernstein Inequality via Chebyshev Polynomial","authors":"Yi C. Huang","doi":"10.1007/s40315-022-00454-4","DOIUrl":"https://doi.org/10.1007/s40315-022-00454-4","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72537312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Landau–Bloch Type Theorems for Certain Subclasses for Polyharmonic Mappings 多谐映射若干子类的Landau-Bloch型定理
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-05-16 DOI: 10.1007/s40315-022-00441-9
Xi Luo, Ming-Sheng Liu
{"title":"Landau–Bloch Type Theorems for Certain Subclasses for Polyharmonic Mappings","authors":"Xi Luo, Ming-Sheng Liu","doi":"10.1007/s40315-022-00441-9","DOIUrl":"https://doi.org/10.1007/s40315-022-00441-9","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73229980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Certain Fermat Diophantine Functional Equations in C2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {C}^{2 C2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amssyb} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {C}^{2
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-05-16 DOI: 10.1007/s40315-022-00450-8
Qiong Wang, L. Liao, W. Chen
{"title":"On Certain Fermat Diophantine Functional Equations in C2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {C}^{2","authors":"Qiong Wang, L. Liao, W. Chen","doi":"10.1007/s40315-022-00450-8","DOIUrl":"https://doi.org/10.1007/s40315-022-00450-8","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72941167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quasisymmetry and Quasihyperbolicity of Mappings on John Domains John域上映射的拟对称和拟双曲性
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-03-31 DOI: 10.1007/s40315-022-00440-w
Manzi Huang, A. Rasila, Xiantao Wang, Qingshan Zhou
{"title":"Quasisymmetry and Quasihyperbolicity of Mappings on John Domains","authors":"Manzi Huang, A. Rasila, Xiantao Wang, Qingshan Zhou","doi":"10.1007/s40315-022-00440-w","DOIUrl":"https://doi.org/10.1007/s40315-022-00440-w","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85706236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Walsh’s Conformal Map onto Lemniscatic Domains for Polynomial Pre-images I 多项式预像在lemiscatic域上的Walsh保角映射
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-03-28 DOI: 10.1007/s40315-022-00462-4
K. Schiefermayr, O. Sète
{"title":"Walsh’s Conformal Map onto Lemniscatic Domains for Polynomial Pre-images I","authors":"K. Schiefermayr, O. Sète","doi":"10.1007/s40315-022-00462-4","DOIUrl":"https://doi.org/10.1007/s40315-022-00462-4","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84332917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Topological Angles and Freely Quasiconformal Mappings in Real Banach Spaces 实Banach空间中的拓扑角与自由拟共形映射
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-03-16 DOI: 10.1007/s40315-022-00445-5
Zhiqiang Yang, Qingshan Zhou
{"title":"Topological Angles and Freely Quasiconformal Mappings in Real Banach Spaces","authors":"Zhiqiang Yang, Qingshan Zhou","doi":"10.1007/s40315-022-00445-5","DOIUrl":"https://doi.org/10.1007/s40315-022-00445-5","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2022-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78790388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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