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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1832567334602014720 |
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| author | Khalida I. Noor Fatima M. Aloboudi Naeela Aldihan |
| author_facet | Khalida I. Noor Fatima M. Aloboudi Naeela Aldihan |
| author_sort | Khalida I. Noor |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c877bd1ace51494a930a762691e56bdf |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c877bd1ace51494a930a762691e56bdf2025-02-03T01:01:50ZengWileyInternational 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 |
| 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 |
| title | 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_short | On the radius of univalence of convex combinations of analytic functions |
| title_sort | on the radius of univalence of convex combinations of analytic functions |
| url | http://dx.doi.org/10.1155/S0161171283000290 |
| work_keys_str_mv | AT khalidainoor ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions AT fatimamaloboudi ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions AT naeelaaldihan ontheradiusofunivalenceofconvexcombinationsofanalyticfunctions |