{"title":"On Deviations of Meromorphic Minimal Surfaces of Finite Lower Order","authors":"","doi":"10.1007/s40315-024-00522-x","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>This paper is devoted to the development of Beckenbach’s theory of meromorphic minimal surfaces. We get an estimate of the sum of Petrenko’s deviations of the meromorphic minimal surface of finite lower order in term of Valiron’s defect <span> <span>\\(\\Delta ({\\textbf {0}}, S_u)\\)</span> </span>. We also give an example showing that the estimate is sharp.</p>","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"32 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods and Function Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40315-024-00522-x","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper is devoted to the development of Beckenbach’s theory of meromorphic minimal surfaces. We get an estimate of the sum of Petrenko’s deviations of the meromorphic minimal surface of finite lower order in term of Valiron’s defect \(\Delta ({\textbf {0}}, S_u)\). We also give an example showing that the estimate is sharp.
期刊介绍:
CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.