Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator
The <i>q</i>-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the <i>q</i>-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions usi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/4/186 |
| _version_ | 1797434678058156032 |
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| author | Isra Al-Shbeil Timilehin Gideon Shaba Adriana Cătaş |
| author_facet | Isra Al-Shbeil Timilehin Gideon Shaba Adriana Cătaş |
| author_sort | Isra Al-Shbeil |
| collection | DOAJ |
| description | The <i>q</i>-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the <i>q</i>-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions using the Hohlov operator and certain <i>q</i>-Chebyshev polynomials. A number of coefficient bounds, as well as the Fekete–Szegö inequalities and the second Hankel determinant are provided for these newly specified function classes. |
| first_indexed | 2024-03-09T10:35:56Z |
| format | Article |
| id | doaj.art-2b49ddc884bb4558a7681daab7eb9c20 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T10:35:56Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-2b49ddc884bb4558a7681daab7eb9c202023-12-01T20:55:22ZengMDPI AGFractal and Fractional2504-31102022-03-016418610.3390/fractalfract6040186Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov OperatorIsra Al-Shbeil0Timilehin Gideon Shaba1Adriana Cătaş2Department of Mathematics, The University of Jordan, Amman 11942, JordanDepartment of Mathematics, University of Ilorin, Ilorin 240003, NigeriaDepartment of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaThe <i>q</i>-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the <i>q</i>-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions using the Hohlov operator and certain <i>q</i>-Chebyshev polynomials. A number of coefficient bounds, as well as the Fekete–Szegö inequalities and the second Hankel determinant are provided for these newly specified function classes.https://www.mdpi.com/2504-3110/6/4/186Hankel determinantanalytic and bi-univalent functionssubordinationHohlov operator<i>q</i>-Chebyshev polynomialscoefficient bounds |
| spellingShingle | Isra Al-Shbeil Timilehin Gideon Shaba Adriana Cătaş Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator Fractal and Fractional Hankel determinant analytic and bi-univalent functions subordination Hohlov operator <i>q</i>-Chebyshev polynomials coefficient bounds |
| title | Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator |
| title_full | Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator |
| title_fullStr | Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator |
| title_full_unstemmed | Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator |
| title_short | Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using <i>q</i>-Chebyshev Polynomial and Hohlov Operator |
| title_sort | second hankel determinant for the subclass of bi univalent functions using i q i chebyshev polynomial and hohlov operator |
| topic | Hankel determinant analytic and bi-univalent functions subordination Hohlov operator <i>q</i>-Chebyshev polynomials coefficient bounds |
| url | https://www.mdpi.com/2504-3110/6/4/186 |
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