Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial
This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials. Bounds for coefficients $\left|a_{2}\right|$ and $\left|a_{3}...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_710125_001686b074c743ef93692e921b614149.pdf |
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| author | Rumeysa Öztürk İbrahim Aktaş |
| author_facet | Rumeysa Öztürk İbrahim Aktaş |
| author_sort | Rumeysa Öztürk |
| collection | DOAJ |
| description | This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials. Bounds for coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ of functions in these subclasses are estimated in terms of generalized Bivariate Fibonacci polynomials. In addition, the Fekete-Szeg\"{o} problem is handled for the members of these subclasses and several consequences and examples of the main results are presented. The results of article generalize some of the previously published papers in the literature. |
| format | Article |
| id | doaj-art-2c53d0215b354e90ad879b05d3b9de9a |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-2c53d0215b354e90ad879b05d3b9de9a2025-02-11T05:27:30ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-01213355310.22130/scma.2023.1988826.1248710125Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci PolynomialRumeysa Öztürk0İbrahim Aktaş1Department of Mathematics, Kamı̇l Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Karaman, Türkı̇ye.Department of Mathematics, Kamı̇l Özdağ Science Faculty, Karamanoğlu Mehmetbey University, Karaman, Türkı̇ye.This article deals with two new subclasses of analytic and bi-univalent functions in the open unit disk, which is defined by applying subordination principle between analytic functions and the generalized Bivariate Fibonacci polynomials. Bounds for coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ of functions in these subclasses are estimated in terms of generalized Bivariate Fibonacci polynomials. In addition, the Fekete-Szeg\"{o} problem is handled for the members of these subclasses and several consequences and examples of the main results are presented. The results of article generalize some of the previously published papers in the literature.https://scma.maragheh.ac.ir/article_710125_001686b074c743ef93692e921b614149.pdfbi-univalent functioncoefficient estimatesfekete-szeg\"{o} functionalbivariate fibonacci polynomials |
| spellingShingle | Rumeysa Öztürk İbrahim Aktaş Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial Sahand Communications in Mathematical Analysis bi-univalent function coefficient estimates fekete-szeg\"{o} functional bivariate fibonacci polynomials |
| title | Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial |
| title_full | Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial |
| title_fullStr | Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial |
| title_full_unstemmed | Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial |
| title_short | Coefficient Estimate and Fekete-Szeg\"{o} Problems for Certain New Subclasses of Bi-univalent Functions Defined by Generalized Bivariate Fibonacci Polynomial |
| title_sort | coefficient estimate and fekete szeg o problems for certain new subclasses of bi univalent functions defined by generalized bivariate fibonacci polynomial |
| topic | bi-univalent function coefficient estimates fekete-szeg\"{o} functional bivariate fibonacci polynomials |
| url | https://scma.maragheh.ac.ir/article_710125_001686b074c743ef93692e921b614149.pdf |
| work_keys_str_mv | AT rumeysaozturk coefficientestimateandfeketeszegoproblemsforcertainnewsubclassesofbiunivalentfunctionsdefinedbygeneralizedbivariatefibonaccipolynomial AT ibrahimaktas coefficientestimateandfeketeszegoproblemsforcertainnewsubclassesofbiunivalentfunctionsdefinedbygeneralizedbivariatefibonaccipolynomial |