Univalent Logharmonic Mappings in the Plane
This paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, an...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/721943 |
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| _version_ | 1832550059371134976 |
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| author | Zayid Abdulhadi Rosihan M. Ali |
| author_facet | Zayid Abdulhadi Rosihan M. Ali |
| author_sort | Zayid Abdulhadi |
| collection | DOAJ |
| description | This paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. Logharmonic polynomials are also discussed, along with several important subclasses of logharmonic mappings. |
| format | Article |
| id | doaj-art-424abce4d1464b50853474dda89b5ff0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-424abce4d1464b50853474dda89b5ff02025-02-03T06:07:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/721943721943Univalent Logharmonic Mappings in the PlaneZayid Abdulhadi0Rosihan M. Ali1Department of Mathematics, American University of Sharjah, P.O. Box 26666, Sharjah, UAESchool of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, MalaysiaThis paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. Logharmonic polynomials are also discussed, along with several important subclasses of logharmonic mappings.http://dx.doi.org/10.1155/2012/721943 |
| spellingShingle | Zayid Abdulhadi Rosihan M. Ali Univalent Logharmonic Mappings in the Plane Abstract and Applied Analysis |
| title | Univalent Logharmonic Mappings in the Plane |
| title_full | Univalent Logharmonic Mappings in the Plane |
| title_fullStr | Univalent Logharmonic Mappings in the Plane |
| title_full_unstemmed | Univalent Logharmonic Mappings in the Plane |
| title_short | Univalent Logharmonic Mappings in the Plane |
| title_sort | univalent logharmonic mappings in the plane |
| url | http://dx.doi.org/10.1155/2012/721943 |
| work_keys_str_mv | AT zayidabdulhadi univalentlogharmonicmappingsintheplane AT rosihanmali univalentlogharmonicmappingsintheplane |