On Landau-Type Theorems for Poly-Analytic Functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911463404208128 |
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| author | Allu, Vasudevarao Kumar, Rohit |
| author_facet | Allu, Vasudevarao Kumar, Rohit |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08029 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Landau-Type Theorems for Poly-Analytic Functions Allu, Vasudevarao Kumar, Rohit Complex Variables 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. |
| title | On Landau-Type Theorems for Poly-Analytic Functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2409.08029 |