Landau-type Theorem and Bloch constant for elliptic harmonic mappings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909162388062208 |
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| author | Bhowmik, Bappaditya Sen, Sambhunath |
| author_facet | Bhowmik, Bappaditya Sen, Sambhunath |
| contents | In this article, we obtain certain estimates for the Taylor coefficients of $(K,K')$-elliptic harmonic mappings and using these estimates, we prove a Landau-type theorem for these mappings. We also derive Bloch constant for the class of $(K, K')$-elliptic harmonic mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Landau-type Theorem and Bloch constant for elliptic harmonic mappings Bhowmik, Bappaditya Sen, Sambhunath Complex Variables Primary: 30C50, 31A05, Secondary: 30C62, 33E05 In this article, we obtain certain estimates for the Taylor coefficients of $(K,K')$-elliptic harmonic mappings and using these estimates, we prove a Landau-type theorem for these mappings. We also derive Bloch constant for the class of $(K, K')$-elliptic harmonic mappings. |
| title | Landau-type Theorem and Bloch constant for elliptic harmonic mappings |
| topic | Complex Variables Primary: 30C50, 31A05, Secondary: 30C62, 33E05 |
| url | https://arxiv.org/abs/2404.04596 |