The Generalized Binomial Transform of the Bivariate Fibonacci and Lucas p-Polynomials

The generalized binomial transforms of the bivariate Fibonacci p−polynomials and Lucas p−polynomials are introduced in this study. Furthermore, the generating functions of these polynomials are provided. Moreover, some relations are found for them. All results obtained are reduced to the k−binomial, falling binomial, rising binomial, and binomial transforms of the Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas, Fibonacci, and Lucas numbers.