Results 171 to 180 of about 916 (205)

Fibonacci-mandelbrot polynomials and matrices [PDF]

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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(2, k)-Distance Fibonacci Polynomials [PDF]

Symmetry, 2021
In this paper we introduce and study (2,k)-distance Fibonacci polynomials which are natural extensions of (2,k)-Fibonacci numbers. We give some properties of these polynomials—among others, a graph interpretation and matrix generators.
Dorota Brod, Andrzej Włoch
exaly   +2 more sources

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Generalized Humbert polynomials via generalized Fibonacci polynomials

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Wang
exaly   +3 more sources

Distance Fibonacci Polynomials by Graph Methods [PDF]

Symmetry, 2021
In this paper we introduce and study a new generalization of Fibonacci polynomials which generalize Fibonacci, Jacobsthal and Narayana numbers, simultaneously. We give a graph interpretation of these polynomials and we obtain a binomial formula for them.
Dominik Strzalka, Sławomir Wolski, Andrzej Włoch   +2 more
exaly   +2 more sources

New Formulas Involving Fibonacci and Certain Orthogonal Polynomials [PDF]

Symmetry, 2023
In this paper, new formulas for the Fibonacci polynomials, including high-order derivatives and repeated integrals of them, are derived in terms of the polynomials themselves.
Anna Napoli, H M Ahmed, W M Abd-Elhameed   +2 more
exaly   +2 more sources

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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