Results 161 to 170 of about 320 (182)
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On generalized Fibonacci and Lucas polynomials
Chaos, Solitons and Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pentti Haukkanen
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SymmetryThis paper offers a thorough examination of a unified class of Humbert’s polynomials in two variables, extending beyond well-known polynomial families such as Gegenbauer, Humbert, Legendre, Chebyshev, Pincherle, Horadam, Kinnsy, Horadam–Pethe, Djordjević, Gould, Milovanović, Djordjević, Pathan, and Khan polynomials.
Shahid Ahmad Wani +2 more
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SEVERAL GENERATING FUNCTIONS OF GENERALIZED FIBONACCI POLYNOMIALS
Jnanabha, 2021In this paper, we obtain the generating functions up to third order of generalized Fibonacci polynomials defined by R. Florez. Also we obtain several generating functions of several famous polynomials and sequences as particular cases.
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Generalized Fibonacci polynomial of graph
Ars Comb., 2003For 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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Fibonacci Polynomials and It’s Generalization
Mikailalsys Journal of Mathematics and StatisticsThis article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance. We have used their Binet’s formula and generating function to derive the identities.
Suresh Kumar Sahani, Nand Kishor Kumar
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\(q\)-Analogue of the Generalized Fibonacci and Lucas Polynomials
Ars CombinatoriaIn this article, we define \(q\)-generalized Fibonacci polynomials and \(q\)-generalized Lucas polynomials using \(q\)-binomial coefficient and obtain their recursive properties. In addition, we introduce generalized \(q\)-Fibonacci matrix and generalized \(q\)-Lucas matrix, then we derive their basic identities.
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Hoste’s conjecture for generalized Fibonacci polynomials
Communications in Algebra, 2019One very long-standing theme in the theory of knots and links in S3 is the description of Alexander polynomials of alternating links.
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Generalized Fibonacci Polynomials
The Fibonacci Quarterly, 1973V. E. Hoggatt, Marjorie Bicknell
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On the generalization of the Fibonacci-coefficient polynomials
2007Summary: In this note we deal with the zeros of polynomials defined recursively, where the coefficients of these polynomials are the terms of a given second order linear recursive sequence of integers. Some results on the Fibonacci coefficient polynomials obtained by \textit{D. Garth, D. Mills} and \textit{P. Mitchell} [J. Integer Seq. 10, No.
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