{"title":"Landau-type theorems for certain subclasses of poly-analytic functions","authors":"Vasudevarao Allu, Rohit Kumar","doi":"arxiv-2409.08029","DOIUrl":null,"url":null,"abstract":"In this paper, we establish three Landau-type theorems for certain bounded\npoly-analytic functions, which generalize the corresponding result for\nbi-analytic functions given by Liu and Ponnusamy [Canad. Math. Bull. 67(1):\n2024, 152-165]. Further, we prove three bi-Lipschitz theorems for these\nsubclasses of poly-analytic functions.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we establish three Landau-type theorems for certain bounded
poly-analytic functions, which generalize the corresponding result for
bi-analytic functions given by Liu and Ponnusamy [Canad. Math. Bull. 67(1):
2024, 152-165]. Further, we prove three bi-Lipschitz theorems for these
subclasses of poly-analytic functions.