On Uniformly Bazilevic and Related Functions
We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length pr...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/345261 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553546250190848 |
|---|---|
| author | Khalida Inayat Noor |
| author_facet | Khalida Inayat Noor |
| author_sort | Khalida Inayat Noor |
| collection | DOAJ |
| description | We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. Some interesting results are derived as special cases. |
| format | Article |
| id | doaj-art-63a230d29ef24dc2a3cd97c6b21d54ac |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-63a230d29ef24dc2a3cd97c6b21d54ac2025-02-03T05:53:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/345261345261On Uniformly Bazilevic and Related FunctionsKhalida Inayat Noor0Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanWe introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. Some interesting results are derived as special cases.http://dx.doi.org/10.1155/2012/345261 |
| spellingShingle | Khalida Inayat Noor On Uniformly Bazilevic and Related Functions Abstract and Applied Analysis |
| title | On Uniformly Bazilevic and Related Functions |
| title_full | On Uniformly Bazilevic and Related Functions |
| title_fullStr | On Uniformly Bazilevic and Related Functions |
| title_full_unstemmed | On Uniformly Bazilevic and Related Functions |
| title_short | On Uniformly Bazilevic and Related Functions |
| title_sort | on uniformly bazilevic and related functions |
| url | http://dx.doi.org/10.1155/2012/345261 |
| work_keys_str_mv | AT khalidainayatnoor onuniformlybazilevicandrelatedfunctions |