Normality criterion for logharmonic mapping
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916754246074368 |
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| author | Ahamed, Molla Basir Mandal, Sanju |
| author_facet | Ahamed, Molla Basir Mandal, Sanju |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_17062 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normality criterion for logharmonic mapping Ahamed, Molla Basir Mandal, Sanju Complex Variables Primary: 30C45, 30C55, 31A05 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. |
| title | Normality criterion for logharmonic mapping |
| topic | Complex Variables Primary: 30C45, 30C55, 31A05 |
| url | https://arxiv.org/abs/2505.17062 |