A New Roper-Suffridge Extension Operator on a Reinhardt Domain
We introduce a new Roper-Suffridge extension operator on the following Reinhardt domain given by where f is a normalized locally biholomorphic function on the unit disc D, pj are positive integer, aj are complex constants, and j=2,…,n. Some conditions for aj are f...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/865496 |
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| _version_ | 1832560467348815872 |
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| author | Jianfei Wang Cailing Gao |
| author_facet | Jianfei Wang Cailing Gao |
| author_sort | Jianfei Wang |
| collection | DOAJ |
| description | We introduce a new Roper-Suffridge extension operator on the following Reinhardt domain
given by where f is a normalized locally biholomorphic function on the unit disc D, pj are positive integer, aj are complex constants, and j=2,…,n. Some conditions for aj are found under which the operator preserves almost starlike mappings of order α and starlike mappings of order α, respectively. In particular, our results reduce to many well-known results when all αj=0. |
| format | Article |
| id | doaj-art-165d2eb58090462d8ec5c68b75386702 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-165d2eb58090462d8ec5c68b753867022025-02-03T01:27:31ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/865496865496A New Roper-Suffridge Extension Operator on a Reinhardt DomainJianfei Wang0Cailing Gao1Department of Mathematics and Physics, Information Engineering, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaDepartment of Mathematics and Physics, Information Engineering, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaWe introduce a new Roper-Suffridge extension operator on the following Reinhardt domain given by where f is a normalized locally biholomorphic function on the unit disc D, pj are positive integer, aj are complex constants, and j=2,…,n. Some conditions for aj are found under which the operator preserves almost starlike mappings of order α and starlike mappings of order α, respectively. In particular, our results reduce to many well-known results when all αj=0.http://dx.doi.org/10.1155/2011/865496 |
| spellingShingle | Jianfei Wang Cailing Gao A New Roper-Suffridge Extension Operator on a Reinhardt Domain Abstract and Applied Analysis |
| title | A New Roper-Suffridge Extension Operator on a Reinhardt Domain |
| title_full | A New Roper-Suffridge Extension Operator on a Reinhardt Domain |
| title_fullStr | A New Roper-Suffridge Extension Operator on a Reinhardt Domain |
| title_full_unstemmed | A New Roper-Suffridge Extension Operator on a Reinhardt Domain |
| title_short | A New Roper-Suffridge Extension Operator on a Reinhardt Domain |
| title_sort | new roper suffridge extension operator on a reinhardt domain |
| url | http://dx.doi.org/10.1155/2011/865496 |
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