Generalized Fibonacci and Lucas Polynomials and Their Associated Diagonal Polynomials
نویسنده
چکیده
Horadam [7], in a recent article, defined two sequences of polynomials Jn(x) and j„(x), the Jacobsthal and Jacobsthal-Lucas polynomials, respectively, and studied their properties. In the same article, he also defined and studied the properties of the rising and descending polynomials i^(x), rn(x), Dn(x)y and dn(x), which are fashioned in a manner similar to those for Chebyshev, Fermat, and other polynomials (see [2], [3], [4], [5], and [6]). The purpose of this article is to extend these results to the generalized Fibonacci and Lucas polynomials defined by
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