Results 181 to 190 of about 916 (205)

Supersymmetric Fibonacci polynomials

Analysis and Mathematical Physics, 2021
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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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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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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
exaly  

On (p,q)–Fibonacci and (p,q)–Lucas Polynomials Associated with Changhee Numbers and Their Properties

Symmetry, 2023
Waseem Ahmad Khan, Can KIZILATEŞ, Khan Waseem Ahmad   +2 more
exaly