Angle distortion theorems for starlike and spirallike functions with respect to a boundary point
We exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/81615 |
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| _version_ | 1832556218639450112 |
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| author | Mark Elin David Shoikhet |
| author_facet | Mark Elin David Shoikhet |
| author_sort | Mark Elin |
| collection | DOAJ |
| description | We exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction. |
| format | Article |
| id | doaj-art-c740b725a1b44d1ea41abd84899b0031 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c740b725a1b44d1ea41abd84899b00312025-02-03T05:46:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8161581615Angle distortion theorems for starlike and spirallike functions with respect to a boundary pointMark Elin0David Shoikhet1Department of Mathematics, ORT Braude College, P.O. Box 78, Karmiel 21982, IsraelDepartment of Mathematics, ORT Braude College, P.O. Box 78, Karmiel 21982, IsraelWe exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction.http://dx.doi.org/10.1155/IJMMS/2006/81615 |
| spellingShingle | Mark Elin David Shoikhet Angle distortion theorems for starlike and spirallike functions with respect to a boundary point International Journal of Mathematics and Mathematical Sciences |
| title | Angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| title_full | Angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| title_fullStr | Angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| title_full_unstemmed | Angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| title_short | Angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| title_sort | angle distortion theorems for starlike and spirallike functions with respect to a boundary point |
| url | http://dx.doi.org/10.1155/IJMMS/2006/81615 |
| work_keys_str_mv | AT markelin angledistortiontheoremsforstarlikeandspirallikefunctionswithrespecttoaboundarypoint AT davidshoikhet angledistortiontheoremsforstarlikeandspirallikefunctionswithrespecttoaboundarypoint |