Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szegö type problem for t...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2705203 |
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| _version_ | 1832554826935828480 |
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| author | Ibrar Ahmad Syed Ghoos Ali Shah Saqib Hussain Maslina Darus Babar Ahmad |
| author_facet | Ibrar Ahmad Syed Ghoos Ali Shah Saqib Hussain Maslina Darus Babar Ahmad |
| author_sort | Ibrar Ahmad |
| collection | DOAJ |
| description | In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szegö type problem for this subclass which is obtained. We will also point out many special cases as corollaries. |
| format | Article |
| id | doaj-art-2e44225d689a429d9f8f419675acf826 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2e44225d689a429d9f8f419675acf8262025-02-03T05:50:18ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2705203Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer PolynomialsIbrar Ahmad0Syed Ghoos Ali Shah1Saqib Hussain2Maslina Darus3Babar Ahmad4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematical SciencesDepartment of MathematicsIn this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class. We also study the famous Fekete-Szegö type problem for this subclass which is obtained. We will also point out many special cases as corollaries.http://dx.doi.org/10.1155/2022/2705203 |
| spellingShingle | Ibrar Ahmad Syed Ghoos Ali Shah Saqib Hussain Maslina Darus Babar Ahmad Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials Journal of Mathematics |
| title | Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials |
| title_full | Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials |
| title_fullStr | Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials |
| title_full_unstemmed | Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials |
| title_short | Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials |
| title_sort | fekete szego functional for bi univalent functions related with gegenbauer polynomials |
| url | http://dx.doi.org/10.1155/2022/2705203 |
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