Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials

Bilal Khan, Zhi-Guo Liu, Timilehin Gideon Shaba, Serkan Araci, Nazar Khan, Muhammad Ghaffar Khan and Om P. Ahuja

Journal of Mathematics, 2022, vol. 2022, 1-7

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8162182

DOI: 10.1155/2022/8162182

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