On the radius of univalence of convex combinations of analytic functions
We consider for α>0, the convex combinations f(z)=(1−α)F(z)+αzF′(z), where F belongs to different subclasses of univalent functions and find the radius for which f is in the same class.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000290 |
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doaj-c877bd1ace51494a930a762691e56bdf2020-11-24T21:17:03ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016233534010.1155/S0161171283000290On the radius of univalence of convex combinations of analytic functionsKhalida I. Noor0Fatima M. Aloboudi1Naeela Aldihan2Mathematics Department, Science College of Education for Girls, Malaz, Sitteen Road, Riyadh, Saudi ArabiaMathematics Department, Science College of Education for Girls, Malaz, Sitteen Road, Riyadh, Saudi ArabiaMathematics Department, Science College of Education for Girls, Malaz, Sitteen Road, Riyadh, Saudi ArabiaWe consider for α>0, the convex combinations f(z)=(1−α)F(z)+αzF′(z), where F belongs to different subclasses of univalent functions and find the radius for which f is in the same class.http://dx.doi.org/10.1155/S0161171283000290 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Khalida I. Noor Fatima M. Aloboudi Naeela Aldihan |
| spellingShingle |
Khalida I. Noor Fatima M. Aloboudi Naeela Aldihan On the radius of univalence of convex combinations of analytic functions International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Khalida I. Noor Fatima M. Aloboudi Naeela Aldihan |
| author_sort |
Khalida I. Noor |
| title |
On the radius of univalence of convex combinations of analytic functions |
| title_short |
On the radius of univalence of convex combinations of analytic functions |
| title_full |
On the radius of univalence of convex combinations of analytic functions |
| title_fullStr |
On the radius of univalence of convex combinations of analytic functions |
| title_full_unstemmed |
On the radius of univalence of convex combinations of analytic functions |
| title_sort |
on the radius of univalence of convex combinations of analytic functions |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1983-01-01 |
| description |
We consider for α>0, the convex combinations f(z)=(1−α)F(z)+αzF′(z), where F belongs to different subclasses of univalent functions and find the radius for which f is in the same class. |
| url |
http://dx.doi.org/10.1155/S0161171283000290 |
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AT khalidainoor ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions AT fatimamaloboudi ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions AT naeelaaldihan ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions |
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1726014543050571776 |