منابع مشابه
Some Generalized Fibonacci Polynomials
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We define generalized bivariate polynomials, from which specifying initial conditions the bivariate Fibonacci and Lucas polynomials are obtained. Using essentially a matrix approach we derive identities and inequalities that in most cases generalize known results. 1 Antefacts The generalized bivariate Fibonacci polynomial may be defined as Hn(x, y) = xHn−1(x, y) + yHn−2(x, y), H0(x, y) = a0, H1...
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The focus of this paper is the study of generalized Fibonacci polynomials and Fibonomial coefficients. The former are polynomials {n} in variables s, t given by {0} = 0, {1} = 1, and {n} = s{n−1}+t{n−2} for n ≥ 2. The latter are defined by { n k } = {n}!/({k}!{n−k}!) where {n}! = {1}{2} . . . {n}. These quotients are also polynomials in s, t and specializations give the ordinary binomial coeffi...
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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 oth...
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ژورنال
عنوان ژورنال: Turkish Journal of Analysis and Number Theory
سال: 2016
ISSN: 2333-1100
DOI: 10.12691/tjant-1-1-9