Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant
In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions. For our new...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4227493 |
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| _version_ | 1832555211845009408 |
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| author | Abid Khan Mirajul Haq Luminiţa-Ioana Cotîrlă Georgia Irina Oros |
| author_facet | Abid Khan Mirajul Haq Luminiţa-Ioana Cotîrlă Georgia Irina Oros |
| author_sort | Abid Khan |
| collection | DOAJ |
| description | In recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions. For our new function class, extended Bernardi’s theorem is studied, and the upper bounds for the fourth Hankel determinant are determined. |
| format | Article |
| id | doaj-art-e5a031db68e64298904e2ffe87694d66 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e5a031db68e64298904e2ffe87694d662025-02-03T05:49:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4227493Bernardi Integral Operator and Its Application to the Fourth Hankel DeterminantAbid Khan0Mirajul Haq1Luminiţa-Ioana Cotîrlă2Georgia Irina Oros3School of Management Science and EngineeringDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and Computer ScienceIn recent years, the theory of operators got the attention of many authors due to its applications in different fields of sciences and engineering. In this paper, making use of the Bernardi integral operator, we define a new class of starlike functions associated with the sine functions. For our new function class, extended Bernardi’s theorem is studied, and the upper bounds for the fourth Hankel determinant are determined.http://dx.doi.org/10.1155/2022/4227493 |
| spellingShingle | Abid Khan Mirajul Haq Luminiţa-Ioana Cotîrlă Georgia Irina Oros Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant Journal of Function Spaces |
| title | Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant |
| title_full | Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant |
| title_fullStr | Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant |
| title_full_unstemmed | Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant |
| title_short | Bernardi Integral Operator and Its Application to the Fourth Hankel Determinant |
| title_sort | bernardi integral operator and its application to the fourth hankel determinant |
| url | http://dx.doi.org/10.1155/2022/4227493 |
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