Pub Date : 2022-08-24DOI: 10.1007/s40315-023-00486-4
A. Sauer, A. Schweizer
{"title":"A Uniqueness Problem Concerning Entire Functions and Their Derivatives","authors":"A. Sauer, A. Schweizer","doi":"10.1007/s40315-023-00486-4","DOIUrl":"https://doi.org/10.1007/s40315-023-00486-4","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"18 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78810121","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}
Pub Date : 2022-08-22DOI: 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}
Pub Date : 2022-08-03DOI: 10.1007/s40315-023-00487-3
D. Dmitrishin, Daniel Gray, A. Stokolos, Iryna Tarasenko
{"title":"An Extremal Problem for Odd Univalent Polynomials","authors":"D. Dmitrishin, Daniel Gray, A. Stokolos, Iryna Tarasenko","doi":"10.1007/s40315-023-00487-3","DOIUrl":"https://doi.org/10.1007/s40315-023-00487-3","url":null,"abstract":"","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"72 1","pages":""},"PeriodicalIF":2.1,"publicationDate":"2022-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76545410","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}
Pub Date : 2022-07-28DOI: 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}
Pub Date : 2022-07-25DOI: 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}
Pub Date : 2022-07-18DOI: 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}
Pub Date : 2022-07-05DOI: 10.1007/s40315-022-00458-0
Athanasios Tsantaris
Zorich maps are higher dimensional analogues of the complex exponential map. For the exponential family (lambda e^z), (lambda >0), it is known that for small values of (lambda ) 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 straight brush of Aarts and Oversteegen. As a corollary we show that (infty ) is an explosion point for the set of endpoints of the Julia sets. Moreover we introduce an object called a hairy surface which is a compactified version of the Julia set of Zorich maps and we show that those objects are not uniquely embedded in (mathbb {R}^3), unlike the corresponding two dimensional objects which are all ambiently homeomorphic.
{"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 >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}
Pub Date : 2022-06-24DOI: 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}
Pub Date : 2022-06-04DOI: 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}
Pub Date : 2022-05-31DOI: 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}