Typically real logharmonic mappings
We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of s...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202111100 |
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| _version_ | 1849402225910087680 |
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| author | Zayid Abdulhadi |
| author_facet | Zayid Abdulhadi |
| author_sort | Zayid Abdulhadi |
| collection | DOAJ |
| description | We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of such mappings. |
| format | Article |
| id | doaj-art-8b105ef333ef42c985308d2cfbbded0b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8b105ef333ef42c985308d2cfbbded0b2025-08-20T03:37:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-013111910.1155/S0161171202111100Typically real logharmonic mappingsZayid Abdulhadi0Department of Computer Science, Mathematics and Statistics, American University of Sharjah, P.O. Box 26666, Sharjah, United Arab EmiratesWe consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems. We determine the radius of univalence and starlikeness of these mappings. Moreover, we derive a geometric characterization of such mappings.http://dx.doi.org/10.1155/S0161171202111100 |
| spellingShingle | Zayid Abdulhadi Typically real logharmonic mappings International Journal of Mathematics and Mathematical Sciences |
| title | Typically real logharmonic mappings |
| title_full | Typically real logharmonic mappings |
| title_fullStr | Typically real logharmonic mappings |
| title_full_unstemmed | Typically real logharmonic mappings |
| title_short | Typically real logharmonic mappings |
| title_sort | typically real logharmonic mappings |
| url | http://dx.doi.org/10.1155/S0161171202111100 |
| work_keys_str_mv | AT zayidabdulhadi typicallyreallogharmonicmappings |