Results 31 to 40 of about 228 (148)
The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials [PDF]
Journal of Inequalities and Applications, 2012 AbstractIn this article, we consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials, and infinite sums derived from the reciprocals of the square of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to these sums, we obtain several new equalities involving the Fibonacci ...
Wu, Zhengang, Zhang, Wenpeng
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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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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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Chebyshev polynomials and their some interesting applications
Advances in Difference Equations, 2017 The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
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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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Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials
MathematicsBy drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
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A generalization of Lucas' theorem to vector spaces
International Journal of Mathematics and Mathematical Sciences, 1993 The classical Lucas' theorem on critical points of complex-valued polynomials has been generalized (cf. [1]) to vector-valued polynomials defined on K-inner product spaces.
Neyamat Zaheer
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Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
Journal of Amasya University the Institute of Sciences and Technology, 2023 In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them.
Yashwant Panwar
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Modular, Textile‐Based Soft Robotic Grippers for Agricultural Produce Handling
Advanced Robotics Research, EarlyView.This article introduces textile‐based pneumatic grippers that transform simple textiles into robust bending actuators. Detailed experiments uncover how cut geometry and fabric selection shape performance. Successful handling of fragile agricultural items showcases the potential of textile robotics for safe, scalable automation in food processing and ...
Zeyu Hou +4 more
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Divisors and specializations of Lucas polynomials [PDF]
Journal of Combinatorics, 2015 Minor typos are fixed, new references are added.
Amdeberhan, Tewodros +2 more
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