@article{article_1058918, title={Initial Coefficients Estimate and Fekete-Szegö Problems for Two New Subclasses of Bi-Univalent Functions}, journal={Konuralp Journal of Mathematics}, volume={10}, pages={138–148}, year={2022}, author={Aktaş, İbrahim and Yılmaz, Nazmiye}, keywords={Bi-univalent function, bivariate Fibonacci polynomials, coefficient estimates, Fekete-Szeg\"{o} functional, Horadam polynomials}, abstract={<div style="text-align:justify;">In the present investigation, making use of definition of the generalized Bivariate Fibonacci-Like polynomials that include polynomials such as Horadam, Chebyshev polynomials two new subclasses of bi-univalent functions are introduced. Then, some bounds are determined for the initial Taylor-Maclaurin coefficients of the functions belonging to these new subclasses. Further, the well-known Fekete-Szegö problem is discussed for the defined subclasses. Lastly, several remarks are indicated for the some special values of variables. </div>}, number={1}, publisher={Mehmet Zeki SARIKAYA}