Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials
In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ prob...
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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/10.1155/2022/6946424 |
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| _version_ | 1832547989978087424 |
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| author | Isra Al-Shbeil Abbas Kareem Wanas Abdelkader Benali Adriana Cătaş |
| author_facet | Isra Al-Shbeil Abbas Kareem Wanas Abdelkader Benali Adriana Cătaş |
| author_sort | Isra Al-Shbeil |
| collection | DOAJ |
| description | In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results. |
| format | Article |
| id | doaj-art-63f11301de8b444da424085d5da6cd77 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-63f11301de8b444da424085d5da6cd772025-02-03T06:42:43ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6946424Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer PolynomialsIsra Al-Shbeil0Abbas Kareem Wanas1Abdelkader Benali2Adriana Cătaş3Department of MathematicsDepartment of MathematicsMathematics DepartmentDepartment of Mathematics and Computer ScienceIn the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ-pseudo bistarlike and λ-pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family. Furthermore, we give connections to some of the earlier known results.http://dx.doi.org/10.1155/2022/6946424 |
| spellingShingle | Isra Al-Shbeil Abbas Kareem Wanas Abdelkader Benali Adriana Cătaş Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials Journal of Mathematics |
| title | Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials |
| title_full | Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials |
| title_fullStr | Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials |
| title_full_unstemmed | Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials |
| title_short | Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials |
| title_sort | coefficient bounds for a certain family of biunivalent functions defined by gegenbauer polynomials |
| url | http://dx.doi.org/10.1155/2022/6946424 |
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