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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2841 |
| id |
doaj-01e422f5624e401db5a0ce683c9a303c |
|---|---|
| record_format |
Article |
| spelling |
doaj-01e422f5624e401db5a0ce683c9a303c2020-11-25T01:43:17ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mugur Acu Shigeyoshi Owa |
| spellingShingle |
Mugur Acu Shigeyoshi Owa On a subclass of n-starlike functions International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Mugur Acu Shigeyoshi Owa |
| author_sort |
Mugur Acu |
| title |
On a subclass of n-starlike functions |
| title_short |
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_sort |
on a subclass of n-starlike functions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.2841 |
| work_keys_str_mv |
AT muguracu onasubclassofnstarlikefunctions AT shigeyoshiowa onasubclassofnstarlikefunctions |
| _version_ |
1725032289114521600 |