Results 121 to 130 of about 125,910 (166)

(2, k)-Distance Fibonacci Polynomials

open access: yesSymmetry, 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

Distance Fibonacci Polynomials by Graph Methods

open access: yesSymmetry, 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   +2 more
exaly   +2 more sources

A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials

open access: yesIndian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim Tuğlu, Can Kizilateş
exaly   +5 more sources

New Formulas Involving Fibonacci and Certain Orthogonal Polynomials

open access: yesSymmetry, 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   +2 more
exaly   +2 more sources

On convolved generalized Fibonacci and Lucas polynomials [PDF]

open access: yesApplied 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
exaly   +4 more sources

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