On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain
The research on coefficient inequalities in various classes of univalent holomorphic functions focuses on interpreting their coefficients through the coefficients associated with Carathéodory functions. Therefore, researchers can investigate the behavior of coefficient functionals by applying the kn...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-02-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/14/3/165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850089650918522880 |
|---|---|
| author | Muhammad Abbas Reem K. Alhefthi Daniel Breaz Muhammad Arif |
| author_facet | Muhammad Abbas Reem K. Alhefthi Daniel Breaz Muhammad Arif |
| author_sort | Muhammad Abbas |
| collection | DOAJ |
| description | The research on coefficient inequalities in various classes of univalent holomorphic functions focuses on interpreting their coefficients through the coefficients associated with Carathéodory functions. Therefore, researchers can investigate the behavior of coefficient functionals by applying the known inequalities for Carathéodory functions. This study will explore various coefficient inequalities employing the techniques developed for the previously discussed family of functions. These coefficient inequalities include the Krushkal, Zalcman, and Fekete-Szegö inequalities, along with the second and third Hankel determinants. The class of symmetric starlike functions linked with a petal-shaped domain is the primary focus of our study. |
| format | Article |
| id | doaj-art-7b7942e6623b49b9836f0badd4e7d1b5 |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-7b7942e6623b49b9836f0badd4e7d1b52025-08-20T02:42:45ZengMDPI AGAxioms2075-16802025-02-0114316510.3390/axioms14030165On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped DomainMuhammad Abbas0Reem K. Alhefthi1Daniel Breaz2Muhammad Arif3Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, “1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanThe research on coefficient inequalities in various classes of univalent holomorphic functions focuses on interpreting their coefficients through the coefficients associated with Carathéodory functions. Therefore, researchers can investigate the behavior of coefficient functionals by applying the known inequalities for Carathéodory functions. This study will explore various coefficient inequalities employing the techniques developed for the previously discussed family of functions. These coefficient inequalities include the Krushkal, Zalcman, and Fekete-Szegö inequalities, along with the second and third Hankel determinants. The class of symmetric starlike functions linked with a petal-shaped domain is the primary focus of our study.https://www.mdpi.com/2075-1680/14/3/165coefficient inequalitiessymmetric starlik functionZalcman and Krushkal inequalitiesCarathéodory function |
| spellingShingle | Muhammad Abbas Reem K. Alhefthi Daniel Breaz Muhammad Arif On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain Axioms coefficient inequalities symmetric starlik function Zalcman and Krushkal inequalities Carathéodory function |
| title | On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain |
| title_full | On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain |
| title_fullStr | On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain |
| title_full_unstemmed | On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain |
| title_short | On Coefficient Inequalities for Functions of Symmetric Starlike Related to a Petal-Shaped Domain |
| title_sort | on coefficient inequalities for functions of symmetric starlike related to a petal shaped domain |
| topic | coefficient inequalities symmetric starlik function Zalcman and Krushkal inequalities Carathéodory function |
| url | https://www.mdpi.com/2075-1680/14/3/165 |
| work_keys_str_mv | AT muhammadabbas oncoefficientinequalitiesforfunctionsofsymmetricstarlikerelatedtoapetalshapeddomain AT reemkalhefthi oncoefficientinequalitiesforfunctionsofsymmetricstarlikerelatedtoapetalshapeddomain AT danielbreaz oncoefficientinequalitiesforfunctionsofsymmetricstarlikerelatedtoapetalshapeddomain AT muhammadarif oncoefficientinequalitiesforfunctionsofsymmetricstarlikerelatedtoapetalshapeddomain |