On α-convex functions of order β
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class. Now we will define new classes like that Mocanu class and then investigate and give some results. The class of α-conv...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297001051 |
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doaj-549c691fbb694eaa804a7bca2abe54022020-11-25T00:37:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120476977210.1155/S0161171297001051On α-convex functions of order βSeiichi Fukui0Department of Mathematics, Faculty of Education, Wakayama University, JapanIn 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class. Now we will define new classes like that Mocanu class and then investigate and give some results. The class of α-convex functions of order β partially includes Mocanu's class.http://dx.doi.org/10.1155/S0161171297001051α-convex functionstarlike functionconvex function. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Seiichi Fukui |
| spellingShingle |
Seiichi Fukui On α-convex functions of order β International Journal of Mathematics and Mathematical Sciences α-convex function starlike function convex function. |
| author_facet |
Seiichi Fukui |
| author_sort |
Seiichi Fukui |
| title |
On α-convex functions of order β |
| title_short |
On α-convex functions of order β |
| title_full |
On α-convex functions of order β |
| title_fullStr |
On α-convex functions of order β |
| title_full_unstemmed |
On α-convex functions of order β |
| title_sort |
on α-convex functions of order β |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1997-01-01 |
| description |
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of
α-convex functions. Many mathematicians have studied and shown the properties of this class. Now we
will define new classes like that Mocanu class and then investigate and give some results. The class of α-convex functions of order β partially includes Mocanu's class. |
| topic |
α-convex function starlike function convex function. |
| url |
http://dx.doi.org/10.1155/S0161171297001051 |
| work_keys_str_mv |
AT seiichifukui onaconvexfunctionsoforderb |
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1725301566276108288 |