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Computational Methods and Function Theory最新文献

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A Uniqueness Problem Concerning Entire Functions and Their Derivatives 关于整个函数及其导数的唯一性问题
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-08-24 DOI: 10.1007/s40315-023-00486-4
A. Sauer, A. Schweizer
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引用次数: 1
On the Universality of Sequences of Differential Operators Related to Taylor Series 论与泰勒级数相关的微分算子序列的通用性
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-08-22 DOI: 10.1007/s40315-022-00466-0
V. Lykoura, A. Mouze, V. Vlachou
{"title":"On the Universality of Sequences of Differential Operators Related to Taylor Series","authors":"V. Lykoura, A. Mouze, V. Vlachou","doi":"10.1007/s40315-022-00466-0","DOIUrl":"https://doi.org/10.1007/s40315-022-00466-0","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"142 1","pages":"523 - 531"},"PeriodicalIF":2.1,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76194905","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
An Extremal Problem for Odd Univalent Polynomials 奇一元多项式的一个极值问题
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-08-03 DOI: 10.1007/s40315-023-00487-3
D. Dmitrishin, Daniel Gray, A. Stokolos, Iryna Tarasenko
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引用次数: 1
An Elementary Counterexample to a Coefficient Conjecture 系数猜想的一个基本反例
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-07-28 DOI: 10.1007/s40315-023-00490-8
Liulan Li, S. Ponnusamy, K. Wirths
{"title":"An Elementary Counterexample to a Coefficient Conjecture","authors":"Liulan Li, S. Ponnusamy, K. Wirths","doi":"10.1007/s40315-023-00490-8","DOIUrl":"https://doi.org/10.1007/s40315-023-00490-8","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"7 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2022-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88142529","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
Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra 磁盘代数中一些经典插值定理和多次插值定理的简短证明
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-07-25 DOI: 10.1007/s40315-022-00463-3
R. Mortini
{"title":"Short Proofs for Some Classical Interpolation Theorems and Multiple Interpolation in the Disk Algebra","authors":"R. Mortini","doi":"10.1007/s40315-022-00463-3","DOIUrl":"https://doi.org/10.1007/s40315-022-00463-3","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"75 1","pages":"513 - 521"},"PeriodicalIF":2.1,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88575764","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
Bergman Projections Induced by Doubling Weights on the Unit Ball of $${mathbb {C}}^n$$ 的单位球上加倍权值引起的Bergman投影 $${mathbb {C}}^n$$
IF 2.1 4区 数学
Computational Methods and Function Theory Pub Date : 2022-07-18 DOI: 10.1007/s40315-022-00461-5
Juntao Du, Songxiao Li, Xiaosong Liu, Yecheng Shi
{"title":"Bergman Projections Induced by Doubling Weights on the Unit Ball of $${mathbb {C}}^n$$","authors":"Juntao Du, Songxiao Li, Xiaosong Liu, Yecheng Shi","doi":"10.1007/s40315-022-00461-5","DOIUrl":"https://doi.org/10.1007/s40315-022-00461-5","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"30 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2022-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74931234","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
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":"11 ","pages":""},"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":"64 1","pages":"393 - 416"},"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":"11 1","pages":"1-28"},"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":"3 1","pages":"421 - 446"},"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
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