Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials
In recent years, the usage of the q-derivative and symmetric q-derivative operators is significant. In this study, firstly, many known concepts of the q-derivative operator are highlighted and given. We then use the symmetric q-derivative operator and certain q-Chebyshev polynomials to define a new...
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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/10.1155/2022/8162182 |
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| _version_ | 1832564617744744448 |
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| author | Bilal Khan Zhi-Guo Liu Timilehin Gideon Shaba Serkan Araci Nazar Khan Muhammad Ghaffar Khan |
| author_facet | Bilal Khan Zhi-Guo Liu Timilehin Gideon Shaba Serkan Araci Nazar Khan Muhammad Ghaffar Khan |
| author_sort | Bilal Khan |
| collection | DOAJ |
| description | In recent years, the usage of the q-derivative and symmetric q-derivative operators is significant. In this study, firstly, many known concepts of the q-derivative operator are highlighted and given. We then use the symmetric q-derivative operator and certain q-Chebyshev polynomials to define a new subclass of analytic and bi-univalent functions. For this newly defined functions’ classes, a number of coefficient bounds, along with the Fekete–Szegö inequalities, are also given. To validate our results, we give some known consequences in form of remarks. |
| format | Article |
| id | doaj-art-7e33ff5d54c64f3582182b00ccf3e686 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7e33ff5d54c64f3582182b00ccf3e6862025-02-03T01:10:36ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8162182Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev PolynomialsBilal Khan0Zhi-Guo Liu1Timilehin Gideon Shaba2Serkan Araci3Nazar Khan4Muhammad Ghaffar Khan5School of Mathematical Sciences and Shanghai Key Laboratory of PMMPSchool of Mathematical Sciences and Shanghai Key Laboratory of PMMPDepartment of MathematicsDepartment of EconomicsDepartment of MathematicsInstitute of Numerical SciencesIn recent years, the usage of the q-derivative and symmetric q-derivative operators is significant. In this study, firstly, many known concepts of the q-derivative operator are highlighted and given. We then use the symmetric q-derivative operator and certain q-Chebyshev polynomials to define a new subclass of analytic and bi-univalent functions. For this newly defined functions’ classes, a number of coefficient bounds, along with the Fekete–Szegö inequalities, are also given. To validate our results, we give some known consequences in form of remarks.http://dx.doi.org/10.1155/2022/8162182 |
| spellingShingle | Bilal Khan Zhi-Guo Liu Timilehin Gideon Shaba Serkan Araci Nazar Khan Muhammad Ghaffar Khan Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials Journal of Mathematics |
| title | Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials |
| title_full | Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials |
| title_fullStr | Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials |
| title_full_unstemmed | Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials |
| title_short | Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials |
| title_sort | applications of q derivative operator to the subclass of bi univalent functions involving q chebyshev polynomials |
| url | http://dx.doi.org/10.1155/2022/8162182 |
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