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Irreducibility of Lucas and Generalized Lucas Polynomials
The Fibonacci Quarterly, 1974Gerald E. Bergum, Verner E. Hoggatt
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Lucas Polynomials and Power Sums
2022The three - term recurrence x(n) + y(n) = (x + y) . (x(n-1) + y(n-1)) - xy . (x(n-2) + y(n-2)) allows to express x(n) + y(n) as a polynomial in the two variables x + y and xy. This polynomial is the bivariate Lucas polynomial. This identity is not as well known as it should be.
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Pell and Pell–Lucas Polynomials
2014Pell numbers and Pell–Lucas numbers are specific values of Pell polynomials p n (x) and Pell–Lucas polynomials q n (x), respectively. Both families were studied extensively in 1985 by A.F. Horadam of the University of New England, Armidale, Australia, and Bro. J.M. Mahon of the Catholic College of Education, Sydney, Australia [108].
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On a New Family of Gauss k-Lucas Numbers and Their Polynomials
Asian-European Journal of Mathematics, 2021Engin Özkan
exaly
On the Bivariate Mersenne Lucas Polynomials and Their Properties
Chaos, Solitons and Fractals, 2021Ali Boussayoud, Nabiha Saba
exaly
On (p,q)–Fibonacci and (p,q)–Lucas Polynomials Associated With Changhee Numbers and Their Properties
Symmetry, 2023Waseem Ahmad Khan, Can Kizilateş
exaly
On Gauss Fibonacci Polynomials, on Gauss Lucas Polynomials and Their Applications
Communications in Algebra, 2020Engin Özkan
exaly
TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS
2014In this article, we study the Trivariate Fibonacci and Lucas poly- nomials. The classical Tribonacci numbers and Tribonacci polynomials are the special cases of the trivariate Fibonacci polynomials. Also, we obtain some properties of the trivariate Fibonacci and Lucas polynomials.
KOCER, E. Gokcen, GEDIKCE, Hatice
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On the k -Lucas Numbers and Lucas Polynomials
Turkish Journal of Analysis and Number Theory, 2017Ali Boussayoud, Mohamed kerada
exaly
A New Numerical Treatment Based on Lucas Polynomials for 1D and 2D Sinh-Gordon Equation
Communications in Nonlinear Science and Numerical Simulation, 2018Ömer Oruc
exaly