{"title":"某些多解析函数子类的朗道型定理","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":"{\"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}","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
摘要
在本文中，我们为某些有界多解析函数建立了三个朗道型定理，它们概括了 Liu 和 Ponnusamy [Canad. Math. Bull. 67(1):2024, 152-165] 所给出的禁止解析函数的相应结果。此外，我们还证明了多解析函数子类的三个双李普西茨定理。
Landau-type theorems for certain subclasses of poly-analytic functions
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.
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