Results 21 to 30 of about 14,400 (197)
Orthogonal polynomials and Riesz bases applied to the solution of Love's equation [PDF]
, 2016 In this paper we reinvestigate the structure of the solution of a well-known Love’s problem, related to the electrostatic field generated by two circular coaxial conducting disks, in terms of orthogonal polynomial expansions, enlightening the role of the
BERSANI, Alberto Maria +1 more
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Generalized Fibonacci-Lucas Polynomials
International Journal of Advanced Mathematical Sciences, 2013 Various sequences of polynomials by the names of Fibonacci and Lucas polynomials occur in the literature over a century. The Fibonacci polynomials and Lucas polynomials are famous for possessing wonderful and amazing properties and identities. In this paper, Generalized Fibonacci-Lucas Polynomials are introduced and defined by the recurrence relation
Mamta Singh +3 more
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A Study on Fibonacci and Lucas Bihypernomials
Discussiones Mathematicae - General Algebra and Applications, 2022 The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
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Incomplete generalized Fibonacci and Lucas polynomials [PDF]
Hacettepe Journal of Mathematics and Statistics, 2015 In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these ...
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p-Analogue of biperiodic Pell and Pell–Lucas polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, a binomial sum, unlike but analogous to the usual binomial sums, is expressed with a different definition and termed the p-integer sum. Based on this definition, p-analogue Pell and Pell–Lucas polynomials are established and the generating
Bahar Kuloğlu +2 more
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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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