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arXiv · 2409.08029

On Landau-Type Theorems for Poly-Analytic Functions

Vasudevarao Allu·Rohit Kumar
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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.

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Vasudevarao Allu, Rohit Kumar. 2024-09-12. On Landau-Type Theorems for Poly-Analytic Functions. https://arxiv.org/abs/2409.08029

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