On Bazilevic functions
Let B(β) be the class of Bazilevic functions of type β(β>0). A function f ϵ B(β) if it is analytic in the unit disc E and Rezf′(z)f1−β(z)gβ(z)>0, where g is a starlike function. We generalize the class B(β) by taking g to be a function of radius rotation at most kπ(k≥2). Archlength, difference...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000103 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552904924332032 |
|---|---|
| author | Khalida I. Noor Sumayya A. Al-Bany |
| author_facet | Khalida I. Noor Sumayya A. Al-Bany |
| author_sort | Khalida I. Noor |
| collection | DOAJ |
| description | Let B(β) be the class of Bazilevic functions of type β(β>0). A function f ϵ B(β) if it is analytic in the unit disc E and Rezf′(z)f1−β(z)gβ(z)>0, where g is a starlike function. We generalize the class B(β) by taking g to be a function of radius rotation at most kπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. For k=2, we obtain some of these results for the class B(β) of Bazilevic functions of type β. |
| format | Article |
| id | doaj-art-3b10c0a3de414f5a839aa236e02ef2c9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3b10c0a3de414f5a839aa236e02ef2c92025-02-03T05:57:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101798810.1155/S0161171287000103On Bazilevic functionsKhalida I. Noor0Sumayya A. Al-Bany1Mathematics Department, Girls College of Education, (Science Section) Sitteen Road, Malaz, Riyadh, Saudi ArabiaMathematics Department, Girls College of Education, (Science Section) Sitteen Road, Malaz, Riyadh, Saudi ArabiaLet B(β) be the class of Bazilevic functions of type β(β>0). A function f ϵ B(β) if it is analytic in the unit disc E and Rezf′(z)f1−β(z)gβ(z)>0, where g is a starlike function. We generalize the class B(β) by taking g to be a function of radius rotation at most kπ(k≥2). Archlength, difference of coefficient, Hankel determinant and some other problems are solved for this generalized class. For k=2, we obtain some of these results for the class B(β) of Bazilevic functions of type β.http://dx.doi.org/10.1155/S0161171287000103 |
| spellingShingle | Khalida I. Noor Sumayya A. Al-Bany On Bazilevic functions International Journal of Mathematics and Mathematical Sciences |
| title | On Bazilevic functions |
| title_full | On Bazilevic functions |
| title_fullStr | On Bazilevic functions |
| title_full_unstemmed | On Bazilevic functions |
| title_short | On Bazilevic functions |
| title_sort | on bazilevic functions |
| url | http://dx.doi.org/10.1155/S0161171287000103 |
| work_keys_str_mv | AT khalidainoor onbazilevicfunctions AT sumayyaaalbany onbazilevicfunctions |