Results 171 to 180 of about 497 (203)
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Convolutions between Bernoulli/Euler polynomials and Pell/Lucas polynomials
Online Journal of Analytic Combinatorics, 2022Between Bernoulli/Euler polynomials and Pell/Lucas polynomials, convolution sums are evaluated in closed form via the generating function method. Several interesting identities involving Fibonacci and Lucas numbers are shown as consequences including those due to Byrd (1975) and Frontczak (2020).
Guo, Dongwei, Chu, Wenchang
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Generalized Lucas polynomials over finite fields
Finite Fields and Their Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lisha Li, Qiang Wang, Xiangyong Zeng
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The Irregularity Polynomials of Fibonacci and Lucas cubes
Bulletin of the Malaysian Mathematical Sciences Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ömer Eğecioğlu +2 more
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Lucas polynomials and power sums
2013 Information Theory and Applications Workshop (ITA), 2013The three — term recurrence xn + yn = (x + y) · (xn−1 + yn−1) − xy · (xn−2 + yn−2) allows to express xn + yn 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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On generalized Fibonacci and Lucas polynomials
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nalli, Ayse, Haukkanen, Pentti
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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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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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The \(h(x)\)-Lucas quaternion polynomials
2017Summary: In this paper, we study \(h(x)\)-Lucas quaternion polynomials considering several properties involving these polynomials and we present the exponential generating functions and the Poisson generating functions of the \(h(x)\)-Lucas quaternion polynomials.
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Irreducibility of Lucas and Generalized Lucas Polynomials
The Fibonacci Quarterly, 1974Gerald E. Bergum, Verner E. Hoggatt
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