TY - JOUR
T1 - Applications of q -Derivative Operator to the Subclass of Bi-Univalent Functions Involving q -Chebyshev Polynomials
AU - Khan, Bilal
AU - Liu, Zhi Guo
AU - Shaba, Timilehin Gideon
AU - Araci, Serkan
AU - Khan, Nazar
AU - Khan, Muhammad Ghaffar
N1 - Publisher Copyright:
© 2022 Bilal Khan et al.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85127565690
U2 - 10.1155/2022/8162182
DO - 10.1155/2022/8162182
M3 - 文章
AN - SCOPUS:85127565690
SN - 2314-4629
VL - 2022
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 8162182
ER -