The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain
In this particular research article, we take an analytic function Q4L=1+5/6z+1/6z5, which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of in...
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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/10.1155/2022/2621811 |
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| author | Azzh Saad Alshehry Rasool Shah Abdul Bariq |
| author_facet | Azzh Saad Alshehry Rasool Shah Abdul Bariq |
| author_sort | Azzh Saad Alshehry |
| collection | DOAJ |
| description | In this particular research article, we take an analytic function Q4L=1+5/6z+1/6z5, which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients. Among the inequalities to be studied here are Zalcman inequalities, the Fekete-Szegö inequality, and the second-order Hankel determinant. |
| format | Article |
| id | doaj-art-ecd4b5d7c1024bc0b1f7de929b4a4ae9 |
| 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-ecd4b5d7c1024bc0b1f7de929b4a4ae92025-02-03T05:57:24ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2621811The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped DomainAzzh Saad Alshehry0Rasool Shah1Abdul Bariq2Department of Mathematical SciencesDepartment of MathematicsDepartment of MathematicsIn this particular research article, we take an analytic function Q4L=1+5/6z+1/6z5, which makes a four-leaf-shaped image domain. Using this specific function, two subclasses, S4L∗ and C4L, of starlike and convex functions will be defined. For these classes, our aim is to find some sharp bounds of inequalities that consist of logarithmic coefficients. Among the inequalities to be studied here are Zalcman inequalities, the Fekete-Szegö inequality, and the second-order Hankel determinant.http://dx.doi.org/10.1155/2022/2621811 |
| spellingShingle | Azzh Saad Alshehry Rasool Shah Abdul Bariq The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain Journal of Function Spaces |
| title | The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain |
| title_full | The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain |
| title_fullStr | The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain |
| title_full_unstemmed | The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain |
| title_short | The Second Hankel Determinant of Logarithmic Coefficients for Starlike and Convex Functions Involving Four-Leaf-Shaped Domain |
| title_sort | second hankel determinant of logarithmic coefficients for starlike and convex functions involving four leaf shaped domain |
| url | http://dx.doi.org/10.1155/2022/2621811 |
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