Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913022704877568 |
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| author | Allu, Vasudevarao Kumar, Rohit |
| author_facet | Allu, Vasudevarao Kumar, Rohit |
| contents | In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and
using these bounds we establish Landau-Bloch type theorem for $(K,K')$-elliptic and K-quasiregular harmonic
mappings in plane. Furthermore, we prove the coefficient estimates for $K$-quasiconformal harmonic self maps defined on the unit disk $\mathbb{D}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_09021 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings Allu, Vasudevarao Kumar, Rohit Complex Variables 30C50, 31A05, 32A18, 30C62, 30C45, 33E05 In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for $(K,K')$-elliptic and K-quasiregular harmonic mappings in plane. Furthermore, we prove the coefficient estimates for $K$-quasiconformal harmonic self maps defined on the unit disk $\mathbb{D}$. |
| title | Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings |
| topic | Complex Variables 30C50, 31A05, 32A18, 30C62, 30C45, 33E05 |
| url | https://arxiv.org/abs/2212.09021 |