Results 11 to 20 of about 228 (148)
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila +2 more
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Cube Polynomial of Fibonacci and Lucas Cubes [PDF]
Acta Applicandae Mathematicae, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klavžar, Sandi, Mollard, Michel
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On New Polynomial Sequences Constructed to Each Vertex in an n-Gon
Discrete Dynamics in Nature and Society, 2022 In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n-gon. We compute the relation among the polynomials with such vertices.
Abdul Hamid Ganie +3 more
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Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
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Melham's sums for some Lucas polynomial sequences [PDF]
Notes on Number Theory and Discrete MathematicsA Lucas polynomial sequence is a pair of generalized polynomial sequences that satisfy the Lucas recurrence relation. Special cases include Fibonacci polynomials, Lucas polynomials, and Balancing polynomials.
Chan-Liang Chung, Chunmei Zhong
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A generalization of Lucas polynomial sequence
Discrete Applied Mathematics, 2009 The authors consider the problem of a generalization of Lucas polynomial sequence. They obtain a generalized Lucas polynomial sequence from the lattice paths for the Delannoy numbers by allowing weights on the steps \((1,0),(0,1)\) and \((1,1)\).
Gi-Sang Cheon +2 more
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On generalized Lucas polynomials and Euler numbers [PDF]
Miskolc Mathematical Notes, 2010 In this paper we study the relationship between the generalized Lucas polynomials and the Euler numbers and give several interesting identities involving them.
Nalli, Ayse, Zhang, Tianping
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Polynomial representations of the Lucas logarithm
Finite Fields and Their Applications, 2006 The authors provide results that are of interest for cryptosystems depending on the discrete logarithm problem. They look at the intractability of the so-called Lucas problem, which turns out to be computationally equivalent to the discrete logarithm problem over finite fields \(\mathbb F_{p^2}\). Moreover, they provide precise formulas for polynomials
Hassan Aly, Arne Winterhof
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Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
Universal Journal of Mathematics and Applications, 2018 We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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BıGaussian Pell and Pell-Lucas polynomials
Mathematica Montisnigri, 2022 In this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined.
Özkan, E., Alp, T.
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