Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866917801383428096 |
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| author | Brown, Philip R. Porter, R. Michael |
| author_facet | Brown, Philip R. Porter, R. Michael |
| contents | We study conformal mappings from the unit disk (or a rectangle) to one-tooth gear-shaped planar domains from the point of view of the Schwarzian derivative, with emphasis on numerical considerations. Applications are given to evaluation of a singular integral, mapping to the complement of an annular rectangle, and symmetric multitooth domains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_01041 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications Brown, Philip R. Porter, R. Michael Complex Variables 30C30 (Primary), 30C20, 33E05 (Secondary) We study conformal mappings from the unit disk (or a rectangle) to one-tooth gear-shaped planar domains from the point of view of the Schwarzian derivative, with emphasis on numerical considerations. Applications are given to evaluation of a singular integral, mapping to the complement of an annular rectangle, and symmetric multitooth domains. |
| title | Numerical Conformal Mapping to One-Tooth Gear-Shaped Domains and Applications |
| topic | Complex Variables 30C30 (Primary), 30C20, 33E05 (Secondary) |
| url | https://arxiv.org/abs/1503.01041 |