Close-to-starlike logharmonic mappings
We consider logharmonic mappings of the form f=z|z|2βhg¯ defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close-to-starlike logharmonic mappings. Representation t...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171296000786 |
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| _version_ | 1841524408516083712 |
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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|2βhg¯ defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close-to-starlike logharmonic mappings. Representation theorems and distortion theorems are obtained. Moreover, we determine the radius of univalence and starlikeness of these mappings. |
| format | Article |
| id | doaj-art-a426da7c795b48b69424c353dc7123ab |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a426da7c795b48b69424c353dc7123ab2025-02-03T05:53:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119356357310.1155/S0161171296000786Close-to-starlike logharmonic mappingsZayid Abdulhadi0Department of Mathematical Sciences, P O Box 223, KFUPM, Dhahran, Saudi ArabiaWe consider logharmonic mappings of the form f=z|z|2βhg¯ defined on the unit disc U which can be written as the product of a logharmonic mapping with positive real part and a univalent starlike logharmonic mapping. Such mappings will be called close-to-starlike logharmonic mappings. Representation theorems and distortion theorems are obtained. Moreover, we determine the radius of univalence and starlikeness of these mappings.http://dx.doi.org/10.1155/S0161171296000786logharmonic mappingsclose to starlikepositive real partradius of starlikeness and univalence. |
| spellingShingle | Zayid Abdulhadi Close-to-starlike logharmonic mappings International Journal of Mathematics and Mathematical Sciences logharmonic mappings close to starlike positive real part radius of starlikeness and univalence. |
| title | Close-to-starlike logharmonic mappings |
| title_full | Close-to-starlike logharmonic mappings |
| title_fullStr | Close-to-starlike logharmonic mappings |
| title_full_unstemmed | Close-to-starlike logharmonic mappings |
| title_short | Close-to-starlike logharmonic mappings |
| title_sort | close to starlike logharmonic mappings |
| topic | logharmonic mappings close to starlike positive real part radius of starlikeness and univalence. |
| url | http://dx.doi.org/10.1155/S0161171296000786 |
| work_keys_str_mv | AT zayidabdulhadi closetostarlikelogharmonicmappings |