@article{Khan2023, 
author = {Mohammad Faisal Khan},
title = {Certain new applications of Faber polynomial expansion for some new subclasses of    υ-fold symmetric bi-univalent functions associated with    q-calculus},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {5},
pages = {10283-10302},
keywords = {quantum (or q-) calculus, analytic functions, q-derivative operator, υ-fold symmetric bi-univalent functions, Faber polynomials expansions},
url = {https://www.sciopen.com/article/10.3934/math.2023521},
doi = {10.3934/math.2023521},
abstract = {In this article, we define the    q-difference operator and Salagean    q-differential operator for    υ-fold symmetric functions in open unit disk        U   by first applying the concepts of    q-calculus operator theory. Then, we considered these operators in order to construct new subclasses for    υ-fold symmetric bi-univalent functions. We establish the general coefficient bounds        |        a          υ      k      +      1            |   for the functions in each of these newly specified subclasses using the Faber polynomial expansion method. Investigations are also performed on Feketo-Sezego problems and initial coefficient bounds for the function    h that belong to the newly discovered subclasses. To illustrate the relationship between the new and existing research, certain well-known corollaries of our main findings are also highlighted.}
}