Generalized Bivariate Fibonacci Polynomials and a Related Class of Bi-Univalent Functions
DOI:
https://doi.org/10.31642/JoKMC/2018/130113Keywords:
regular functions, , Subordination., Bi-univalent functionsAbstract
In this study, we propose and analyze a new subclass of analytic bi-univalent functions defined on U=ζ∈C:|ζ|<1. The functions considered are characterized by subordination to a generating function constructed via generalized bivariate Fibonacci polynomials. In particular, we derive bounds for the initial coefficients in the Taylor–Maclaurin series expansion of functions belonging to this subclass. Furthermore, we obtain estimates for the Fekete–Szegö functional. The results presented here generalize and extend several known results in the theory of bi-univalent functions. The relevance of the main results and their relationship to previously defined subclasses are illustrated with examples and comments..
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