Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions
In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured to solve certain coefficient problems. This f...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6621315 |
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| _version_ | 1832561292706054144 |
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| author | Hameed Ur Rehman Maslina Darus Jamal Salah |
| author_facet | Hameed Ur Rehman Maslina Darus Jamal Salah |
| author_sort | Hameed Ur Rehman |
| collection | DOAJ |
| description | In the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured to solve certain coefficient problems. This formula is applied to a certain class of bi-univalent functions and solve the n-th term of its coefficient problems. In the last section of the article, several well-known classes are also extended to its n-th term. |
| format | Article |
| id | doaj-art-801b1de9176b4f04b2c32530d6a8dd8c |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-801b1de9176b4f04b2c32530d6a8dd8c2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66213156621315Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent FunctionsHameed Ur Rehman0Maslina Darus1Jamal Salah2Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, MalaysiaDepartment of Basic Science, College of Health and Applied Sciences, A’ Sharqiyah University, Post Box No. 42, Post Code No. 400, Ibra, OmanIn the present paper, the authors implement the two analytic functions with its positive real part in the open unit disk. New types of polynomials are introduced, and by using these polynomials with the Faber polynomial expansion, a formula is structured to solve certain coefficient problems. This formula is applied to a certain class of bi-univalent functions and solve the n-th term of its coefficient problems. In the last section of the article, several well-known classes are also extended to its n-th term.http://dx.doi.org/10.1155/2021/6621315 |
| spellingShingle | Hameed Ur Rehman Maslina Darus Jamal Salah Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions Journal of Mathematics |
| title | Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions |
| title_full | Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions |
| title_fullStr | Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions |
| title_full_unstemmed | Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions |
| title_short | Generalizing Certain Analytic Functions Correlative to the n-th Coefficient of Certain Class of Bi-Univalent Functions |
| title_sort | generalizing certain analytic functions correlative to the n th coefficient of certain class of bi univalent functions |
| url | http://dx.doi.org/10.1155/2021/6621315 |
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