Results 151 to 160 of about 302 (175)

Some polynomials related to the Fibonacci polynomials

Bull. EATCS, 1994
In an earlier paper the author analyzed an algorithm to construct ``Fibonacci partitions of a set''. The polynomials involved are closely related to the Fibonacci polynomials. The sum \[ \sum_{1\leq k< n} (k)_ s \left( \begin{smallmatrix} n-1-k\\ k-1\end{smallmatrix} \right) x^ k (x- 1)^{n-2k}+ \sum_{0\leq ...
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Generalized Fibonacci polynomial of graph

Ars Comb., 2003
For a graph \(G\) with \(V(G)=\{v_1,\dots ,v_n\}\), \(n\geq 2\), and \(n\) graphs \(H_1,\dots ,H_n\) with a common \(x\)-element vertex set \(V\), the graph \(G[H_1,\dots ,H_n]\) has vertex set \(V(G)\times V\) and \((v_i,a)\), \((v_j,b)\) are joined in it by an edge if and only if \(i=j\; \text{and} \{a,b\}\in E(H_i)\) or \(\{v_i,v_j\}\in E(G)\).
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The Appell-Fibonacci Polynomials

The main purpose of this paper is to define the Appell-Fibonacci polynomials by associating the Appell polynomials, an important concept in mathematics, with Fibonomial coefficients. In this study, various properties and recurrence relations of the Appell-Fibonacci polynomials were established, and a determinantal definition is provided.
Kuş, Semra, Erkuş-Duman, Esra, Tuğlu, Naim   +2 more
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On the expansion of Fibonacci and Lucas polynomials

2009
Summary: Recently, \textit{H. Belbachir} and \textit{F. Bencherif} [J. Integer Seq. 11, No. 2, Article ID 08.2.6, 10 p., electronic only (2008; Zbl 1211.11019)] have expanded Fibonacci and Lucas polynomials using bases of Fibonacci- and Lucas-like polynomials.
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New Formulas Involving Fibonacci and Certain Orthogonal Polynomials

Symmetry, 2023
W M Abd-Elhameed, H M Ahmed, Anna Napoli   +2 more
exaly  

(2, k)-Distance Fibonacci Polynomials

Symmetry, 2021
Dorota Brod, Andrzej Włoch
exaly  

Distance Fibonacci Polynomials by Graph Methods

Symmetry, 2021
Dominik Strzałka, S Wolski, Andrzej Włoch   +2 more
exaly  

Symbolic Substitutions Into Fibonacci Polynomials

The Fibonacci Quarterly, 1968
Hoggatt, Verner E. jun., Lind, D. A.
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3-Fibonacci Polynomials in The Family of Fibonacci Numbers

2019
Bu çalışmamızda,Mikkawy and Sogabe (2010)’ nin vermiş olduğu Fibonacci sayılarının yeni ailesikullanılarak Fibonacci polinomları tanımlandı. Bupolinomun sahip olduğu bazı önemli özellikler gösterildi. Daha sonra eldeettiğimiz polinomlar ile bilinen Fibonacci polinomlar karşılaştırıldı.
ÖZKAN, Engin, TAŞTAN, Merve, AYDOĞDU, Ali   +2 more
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On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications

Communications in Algebra, 2020
Engin Özkan, Merve Tastan
exaly