Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function
Most subclasses of univalent functions are characterized with functions that map open unit disc ∇ onto the right-half plane. This concept was later modified in the literature with those mappings that conformally map ∇ onto a circular domain. Many researchers were inspired with this modification, and...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1806174 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850219026194628608 |
|---|---|
| author | Bushra Kanwal Khalida Inayat Noor Saqib Hussain |
| author_facet | Bushra Kanwal Khalida Inayat Noor Saqib Hussain |
| author_sort | Bushra Kanwal |
| collection | DOAJ |
| description | Most subclasses of univalent functions are characterized with functions that map open unit disc ∇ onto the right-half plane. This concept was later modified in the literature with those mappings that conformally map ∇ onto a circular domain. Many researchers were inspired with this modification, and as such, several articles were written in this direction. On this note, we further modify this idea by relating certain subclasses of univalent functions with those that map ∇ onto a sector in the circular domain. As a result, conditions for univalence, radius results, growth rate, and several inclusion relations are obtained for these novel classes. Overall, many consequences of findings show the validity of our investigation. |
| format | Article |
| id | doaj-art-78aa28caf893458d9fdf3661c2fd7a90 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-78aa28caf893458d9fdf3661c2fd7a902025-08-20T02:07:31ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/1806174Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type FunctionBushra Kanwal0Khalida Inayat Noor1Saqib Hussain2Mathematics DepartmentMathematics DepartmentDepartment of MathematicsMost subclasses of univalent functions are characterized with functions that map open unit disc ∇ onto the right-half plane. This concept was later modified in the literature with those mappings that conformally map ∇ onto a circular domain. Many researchers were inspired with this modification, and as such, several articles were written in this direction. On this note, we further modify this idea by relating certain subclasses of univalent functions with those that map ∇ onto a sector in the circular domain. As a result, conditions for univalence, radius results, growth rate, and several inclusion relations are obtained for these novel classes. Overall, many consequences of findings show the validity of our investigation.http://dx.doi.org/10.1155/2021/1806174 |
| spellingShingle | Bushra Kanwal Khalida Inayat Noor Saqib Hussain Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function Journal of Mathematics |
| title | Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
| title_full | Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
| title_fullStr | Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
| title_full_unstemmed | Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
| title_short | Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
| title_sort | properties of certain classes of holomorphic functions related to strongly janowski type function |
| url | http://dx.doi.org/10.1155/2021/1806174 |
| work_keys_str_mv | AT bushrakanwal propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction AT khalidainayatnoor propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction AT saqibhussain propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction |