Results 11 to 20 of about 316 (181)

Characteristic polynomial, determinant and inverse of a Fibonacci-Sylvester-Kac matrix

Special Matrices, 2021
In this paper, we consider a new Sylvester-Kac matrix, i.e., Fibonacci-Sylvester-Kac matrix. We discuss the eigenvalues, eigenvectors and characteristic polynomial of this matrix in two categories based on whether the Fibonacci-Sylvester-Kac matrix order
Jiang Zhaolin, Zheng Yanpeng, Li Tianzi
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Almost Repdigit k-Fibonacci Numbers with an Application of k-Generalized Fibonacci Sequences

Mathematics, 2023
In this paper, we define the notion of almost repdigit as a positive integer whose digits are all equal except for at most one digit, and we search all terms of the k-generalized Fibonacci sequence which are almost repdigits. In particular, we find all k-
Alaa Altassan, Murat Alan
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On a generalization of the Hosoya triangle [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi, Hamza Menken, Orhan Dişkaya   +2 more
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On an analytical study of the generalized Fibonacci polynomials [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we presented an analytical study of the generalized Fibonacci polynomial of order r≥2, by using properties of the fundamental system associated with the generalized Fibonacci polynomial.
Leandro Rocha, Gabriel F. Pinheiro, Elen V. P. Spreafico   +2 more
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]

Journal of Applied Mathematics, 2014
We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and theirrth derivatives. We get the formulas for therth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials. At last, we get several identities about the Fibonacci numbers and Lucas numbers.
openaire   +3 more sources

Irreducibility of generalized Fibonacci polynomials

, 2022
Two ...
Flórez, Rigoberto, Saunders, J. C.
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A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials

Indian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TUĞLU, NAİM, Kızılateş, Can, Kuş, Semra   +2 more
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Binomial transform of the bivariate Fibonacci quaternion polynomials and its properties [PDF]

Notes on Number Theory and Discrete Mathematics
The primary aim of this work is to deal with binomial transforms of bivariate Fibonacci quaternion polynomial sequence. The binomial sequence of the bivariate Fibonacci quaternion polynomial is found, and then results are obtained for the recurrence ...
Faruk Kaplan, Arzu Özkoç Öztürk
doaj   +1 more source

The Frobenius Number for Jacobsthal Triples Associated with Number of Solutions

Axioms, 2023
In this paper, we find a formula for the largest integer (p-Frobenius number) such that a linear equation of non-negative integer coefficients composed of a Jacobsthal triplet has at most p representations.
Takao Komatsu, Claudio Pita-Ruiz
doaj   +1 more source

Polynomial Collocation Methods Based on Successive Integration Technique for Solving Neutral Delay Differential Equations

Ratio Mathematica, 2023
This paper presents a new approach of using polynomials such as Hermite, Bernoulli, Chebyshev, Fibonacci and Bessel to solve neutral delay differential equations. The proposed method is based on the truncated polynomial expansion of the function together
Kayelvizhi C., Emimal Kanaga Pushpam A.
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