Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function
In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the esti...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3429 |
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| author | Lei Shi Hari M. Srivastava Ayesha Rafiq Muhammad Arif Muhammad Ihsan |
| author_facet | Lei Shi Hari M. Srivastava Ayesha Rafiq Muhammad Arif Muhammad Ihsan |
| author_sort | Lei Shi |
| collection | DOAJ |
| description | In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the estimation of Hankel determinants of second and third order. All of these bounds were proven to be sharp. |
| first_indexed | 2024-03-09T21:28:56Z |
| format | Article |
| id | doaj.art-d028ecd8ecc94603a46da511ff5c5e03 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:56Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d028ecd8ecc94603a46da511ff5c5e032023-11-23T21:01:21ZengMDPI AGMathematics2227-73902022-09-011019342910.3390/math10193429Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential FunctionLei Shi0Hari M. Srivastava1Ayesha Rafiq2Muhammad Arif3Muhammad Ihsan4School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, CanadaInstitute of Space Technology, University of Islamabad, Islamabad 44000, PakistanDepartment of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, PakistanIn the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the estimation of Hankel determinants of second and third order. All of these bounds were proven to be sharp.https://www.mdpi.com/2227-7390/10/19/3429univalent functioninverse functioncoefficient boundsHankel determinant |
| spellingShingle | Lei Shi Hari M. Srivastava Ayesha Rafiq Muhammad Arif Muhammad Ihsan Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function Mathematics univalent function inverse function coefficient bounds Hankel determinant |
| title | Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function |
| title_full | Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function |
| title_fullStr | Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function |
| title_full_unstemmed | Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function |
| title_short | Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function |
| title_sort | results on hankel determinants for the inverse of certain analytic functions subordinated to the exponential function |
| topic | univalent function inverse function coefficient bounds Hankel determinant |
| url | https://www.mdpi.com/2227-7390/10/19/3429 |
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