Bivariate fibonacci like p–polynomials

摘要

In this article, we study the bivariate Fibonacci and Lucas p–polynomials (p ⩾ 0 is integer) from which, specifying x, y and p, bivariate Fibonacci and Lucas polynomials, bivariate Pell and Pell-Lucas polynomials, Jacobsthal and Jacobsthal–Lucas polynomials, Fibonacci and Lucas p–polynomials, Fibonacci and Lucas p–numbers, Pell and Pell–Lucas p–numbers and Chebyshev polynomials of the first and second kind, are obtained. Afterwards, we obtain some properties of the bivariate Fibonacci and Lucas p–polynomials.