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arXiv · 2505.17062

Normality criterion for logharmonic mapping

Molla Basir Ahamed·Sanju Mandal
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Abstract

In this paper, we present several necessary and sufficient conditions for a logharmonic mapping to be normal i.e., we establish Marty's criterion, Zalcman-Pang lemma and the Lohwater-Pommerenke theorem for logharmonic mappings, along with an application of the Zalcman-Pang lemma.

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Molla Basir Ahamed, Sanju Mandal. 2025-05-18. Normality criterion for logharmonic mapping. https://arxiv.org/abs/2505.17062

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