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On convolved generalized Fibonacci and Lucas polynomials [PDF]

Applied Mathematics and Computation, 2014
We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices.
JOSÉ L Ramirez
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Fibonacci-mandelbrot polynomials and matrices

ACM Communications in Computer Algebra, 2017
We explore a family of polynomials similar to the Mandelbrot polynomials called the Fibonacci-Mandelbrot polynomials defined by q 0 ( z ) = 0, q 1 ( z ) = 1, and q n
Eunice Y. S. Chan, Robert M. Corless
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Fibonacci, Chebyshev, and Orthogonal Polynomials

The American Mathematical Monthly, 2005
(2005). Fibonacci, Chebyshev, and Orthogonal Polynomials. The American Mathematical Monthly: Vol. 112, No. 7, pp. 612-630.
Dov Aharonov, Alan F. Beardon, Kathy Driver   +2 more
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Polynomial Fibonacci–Hessenberg matrices

Chaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmaeili, Morteza, Esmaeili, Mostafa
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ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this paper, we present the sum of s+1 consecutive member of Bivariate Fibonacci Polynomials and Bivariate Lucas Polynomials and related identities consisting even and odd terms. We present its two cross two matrix and find interesting properties such as nth power of the matrix.
Panwar, Yashwant K., Mansuri, Akhlak, Bhandari, Jaya   +2 more
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The Irregularity Polynomials of Fibonacci and Lucas cubes

Bulletin of the Malaysian Mathematical Sciences Society, 2020
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Ömer Eğecioğlu, Elif Saygı, Zülfükar Saygı   +2 more
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Fibonacci Polynomials their Properties and Applications

Zeitschrift für Analysis und ihre Anwendungen, 1996
The paper deals with polynomials characterized by coefficients determined by successive elements of the Fibonacci sequence. Basic properties and applications of the Fibonacci polynomials are demonstrated. The index of concentration of Fibonacci polynomials at k
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Supersymmetric Fibonacci polynomials

Analysis and Mathematical Physics, 2021
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Generalized Humbert polynomials via generalized Fibonacci polynomials

Applied Mathematics and Computation, 2017
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Weiping Wang
exaly   +3 more sources

Fibonacci and Lucas polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
The Fibonacci and Lucas polynomials Fn(z) and Ln(z) are denned. These reduce to the familiar Fibonacci and Lucas numbers when z = 1. The polynomials are shown to satisfy a second order linear difference equation. Generating functions are derived, and also various simple identities, and relations with hypergeometric functions, Gegenbauer and Chebyshev ...
Doman, B. G. S., Williams, J. K.
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