Results 21 to 30 of about 497 (203)
Multivariable Lucas Polynomials and Lucanomials
, 2019 17 ...
Allen, Edward E. +2 more
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On the power sum problem of Lucas polynomials and its divisible property
Open Mathematics, 2018 The main purpose of this paper is to use the mathematical induction and the properties of Lucas polynomials to study the power sum problem of Lucas polynomials. In the end, we obtain an interesting divisible property.
Xiao Wang
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Polynomials of binomial type and Lucas’ Theorem [PDF]
Proceedings of the American Mathematical Society, 2015 At the intersection of number theory, commutative algebra and combinatorics. The new version has additional references.
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Numerical method for fractional Advection–Dispersion equation using shifted Vieta–Lucas polynomials
Results in Physics, 2023 In the pursuit of creating more precise and flexible mathematical models for complex physical phenomena, this study constructs a unique fractional model for the Advection–Dispersion equation.
Mohammad Partohaghighi +3 more
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Gaussian Pell-Lucas Polynomials
Communications in Mathematics and Applications, 2019 In this paper, we first define the Gaussian Pell-Lucas polynomial sequence. We then obtain Binet formula, generating function and determinantal representation of this sequence. Also, some properties of the Gaussian Pell-Lucas polynomials are investigated.
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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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MathematicsIn this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud +2 more
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Complex Factorizations of the Lucas Sequences via Matrix Methods
Journal of Applied Mathematics, 2014 Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
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The Gauss-Lucas Theorem and Jensen Polynomials [PDF]
Transactions of the American Mathematical Society, 1983 A characterization is given of the sequences { γ k } k = 0 ∞ \{ {\gamma _k}\}_{k = 0}^\infty with the property that, for any complex polynomial f ( z ) =
Craven, Thomas, Csordas, George
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Novel Expressions for Certain Generalized Leonardo Polynomials and Their Associated Numbers
AxiomsThis article introduces new polynomials that extend the standard Leonardo numbers, generalizing Fibonacci and Lucas polynomials. A new power form representation is developed for these polynomials, which is crucial for deriving further formulas.
Waleed Mohamed Abd-Elhameed +3 more
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