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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Autores principales: Bushra Kanwal, Khalida Inayat Noor, Saqib Hussain
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/78aa28caf893458d9fdf3661c2fd7a90
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Bushra Kanwal
Khalida Inayat Noor
Saqib Hussain
Properties of Certain Classes of Holomorphic Functions Related to Strongly Janowski Type Function
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
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
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