Normality criterion for logharmonic mapping

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.

Publication Details

Journal
ArXiv.org
Published
2025-05-18
Primary Topic
Meromorphic and Entire Functions
Type
article
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article

Normality criterion for logharmonic mapping

ArXiv.org
Meromorphic and Entire Functions
article

Normality criterion for logharmonic mapping

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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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 40%
Meromorphic and Entire Functions
Open Access PDFOpenAlex
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Normality criterion for logharmonic mapping · ArXiv.org (2025) | TGRS Research Map | TGRS