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...
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Hindawi Limited
2021
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oai:doaj.org-article:78aa28caf893458d9fdf3661c2fd7a902021-11-22T01:11:05ZProperties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function2314-478510.1155/2021/1806174https://doaj.org/article/78aa28caf893458d9fdf3661c2fd7a902021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1806174https://doaj.org/toc/2314-4785Most 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.Bushra KanwalKhalida Inayat NoorSaqib HussainHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021) |
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Mathematics QA1-939 |
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Mathematics QA1-939 Bushra Kanwal Khalida Inayat Noor Saqib Hussain Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function |
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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 |
author |
Bushra Kanwal Khalida Inayat Noor Saqib Hussain |
author_facet |
Bushra Kanwal Khalida Inayat Noor Saqib Hussain |
author_sort |
Bushra Kanwal |
title |
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_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_sort |
properties of certain classes of holomorphic functions related to strongly janowski type function |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/78aa28caf893458d9fdf3661c2fd7a90 |
work_keys_str_mv |
AT bushrakanwal propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction AT khalidainayatnoor propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction AT saqibhussain propertiesofcertainclassesofholomorphicfunctionsrelatedtostronglyjanowskitypefunction |
_version_ |
1718418288765042688 |