Results 1 to 10 of about 228 (148)
On Generalized Jacobsthal and Jacobsthal-Lucas polynomials [PDF]
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2016 Abstract In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, J h,n and j h,n , respectively, that consist on an extension of Jacobsthal's polynomials J n (𝑥) and
Catarino Paula, Morgado Maria Luisa
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Communications in Algebra, 2019 AbstractIn this article, we find elements of the Lucas polynomials by using two matrices. We extend the study to the n-step Lucas polynomials.
Engin Özkan
exaly +3 more sources
On convolved generalized Fibonacci and Lucas polynomials [PDF]
Applied Mathematics and Computation, 2014 We define the convolved h(x)-Fibonacci polynomials as an extension of the classical convolved Fibonacci numbers. Then we give some combinatorial formulas involving the h(x)-Fibonacci and h(x)-Lucas polynomials. Moreover we obtain the convolved h(x)-Fibonacci polynomials form a family of Hessenberg matrices.
JOSÉ L Ramirez
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Incomplete Tribonacci–Lucas Numbers and Polynomials [PDF]
Advances in Applied Clifford Algebras, 2014 In this paper, we define Tribonacci-Lucas polynomials and present Tribonacci-Lucas numbers and polynomials as a binomial sum. Then, we introduce incomplete Tribonacci-Lucas numbers and polynomials. In addition we derive recurrence relations, some properties and generating functions of these numbers and polynomials. Also, we find the generating function
Nazmiye Yilmaz
exaly +3 more sources
Reciprocal Formulae among Pell and Lucas Polynomials
Mathematics, 2022 Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomial sums with Pell and Lucas polynomials as weight functions.
Mei Bai, Wenchang Chu, Dongwei Guo
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Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
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Mathematics, 2018 In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of
Taekyun Kim, Dae Kim, Gwan-Woo Jang
exaly +3 more sources
Fibonacci and Lucas Polynomials in n -gon
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, 2023 Abstract In this paper, we bring into light, study the polygonal structure of Fibonacci polynomials that are placed clockwise on these by a number corresponding to each vertex. Also, we find the relation between the numbers with such vertices. We present a relation for obtained sequence in an n
Kuloğlu Bahar +2 more
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Mathematics, 2022 The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed +2 more
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Scientific African, 2023 This study employs Shifted Vieta-Lucas Polynomials using the variational iteration approach to numerically resolve sixth and seventh order Boundary Value Problems (BVPs), The proposed method in the study is used, with the trial functions for the ...
Ikechukwu Jackson Otaide +4 more
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