On a subclass of n-starlike functions
In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f(w)=f'(w)−1=0 and w a fixed point in U. In 2005, the authors introduced the classes of functions close to convex and α-convex, which are normalized in the same way. All these definitio...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2841 |
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| author | Mugur Acu Shigeyoshi Owa |
| author_facet | Mugur Acu Shigeyoshi Owa |
| author_sort | Mugur Acu |
| collection | DOAJ |
| description | In 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f(w)=f'(w)−1=0 and w a fixed point in U. In 2005, the authors introduced the classes of functions close to convex and α-convex, which are normalized in the same way. All these definitions are somewhat similar to the ones for the uniform-type functions and it is easy to see that for w=0, the well-known classes of starlike, convex, close-to-convex, and α-convex functions are obtained. In this paper, we continue the investigation of the univalent functions normalized with f(w)=f'(w)−1=0 and w, where w is a fixed point in U. |
| format | Article |
| id | doaj-art-01e422f5624e401db5a0ce683c9a303c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01e422f5624e401db5a0ce683c9a303c2025-02-03T01:12:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005172841284610.1155/IJMMS.2005.2841On a subclass of n-starlike functionsMugur Acu0Shigeyoshi Owa1Department of Mathematics, “Lucian Blaga” University of Sibiu, 5–7 Ion Raṭiu Street, Sibiu 550012, RomaniaDepartment of Mathematics, School of Science and Engineering, Kinki University, Higashiosaka, Osaka 577-8502, JapanIn 1999, Kanas and Rønning introduced the classes of starlike and convex functions, which are normalized with f(w)=f'(w)−1=0 and w a fixed point in U. In 2005, the authors introduced the classes of functions close to convex and α-convex, which are normalized in the same way. All these definitions are somewhat similar to the ones for the uniform-type functions and it is easy to see that for w=0, the well-known classes of starlike, convex, close-to-convex, and α-convex functions are obtained. In this paper, we continue the investigation of the univalent functions normalized with f(w)=f'(w)−1=0 and w, where w is a fixed point in U.http://dx.doi.org/10.1155/IJMMS.2005.2841 |
| spellingShingle | Mugur Acu Shigeyoshi Owa On a subclass of n-starlike functions International Journal of Mathematics and Mathematical Sciences |
| title | On a subclass of n-starlike functions |
| title_full | On a subclass of n-starlike functions |
| title_fullStr | On a subclass of n-starlike functions |
| title_full_unstemmed | On a subclass of n-starlike functions |
| title_short | On a subclass of n-starlike functions |
| title_sort | on a subclass of n starlike functions |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2841 |
| work_keys_str_mv | AT muguracu onasubclassofnstarlikefunctions AT shigeyoshiowa onasubclassofnstarlikefunctions |