- Konuralp Journal of Mathematics
- Vol: 10 Issue: 1
- Initial Coefficients Estimate and Fekete-Szegö Problems for Two New Subclasses of Bi-Univalent Funct...
Initial Coefficients Estimate and Fekete-Szegö Problems for Two New Subclasses of Bi-Univalent Functions
Authors : Ibrahim Aktaş, Nazmiye Yilmaz
Pages : 138-148
View : 17 | Download : 3
Publication Date : 2022-04-15
Article Type : Research
Abstract :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.Keywords : Bi-univalent function, bivariate Fibonacci polynomials, coefficient estimates, Fekete-Szeg"{o} functional, Horadam polynomials