Normality criterion for logharmonic mapping

2025/05/18 by Ahamed, Molla Basir, Mandal, Sanju
#30C55 #31A05 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30C45

paper · doi:10.48550/arxiv.2505.17062

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.

Citations

• Properties of Normal Harmonic Mappings
• Normal harmonic mappings

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