Results 31 to 40 of about 497 (203)
Relationship between Vieta-Lucas polynomials and Lucas sequences
, 2022 Let $w_n=w_n(P,Q)$ be numerical sequences which satisfy the recursion relation \begin{equation*} w_{n+2}=Pw_{n+1}-Qw_n. \end{equation*} We consider two special cases $(w_0,w_1)=(0,1)$ and $(w_0,w_1)=(2,P)$ and we denote them by $U_n$ and $V_n$ respectively. Vieta-Lucas polynomial $V_n(X,1)$ is the polynomial of degree $n$.
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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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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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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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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 +3 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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Advanced Science, EarlyView.A dual‐functional Nb2O5 modulation strategy is reported to overcome kinetic limitations in Ni‐rich cathodes. The formation of LiNbO3 phase at the grain boundary of the polycrystalline NCM9055 cathode preserves a radially aligned microstructure and establishes fast lithium‐ion pathways.
Tian Rao +11 more
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On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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Organic Thin‐Film Transistors for Neuromorphic Computing
Advanced Electronic Materials, EarlyView.Organic thin‐film transistors (OTFTs) are reviewed for neuromorphic computing applications, highlighting their power‐efficient, and biological time‐scale operation. This article surveys OFET and OECT devices, compares them with memristors and CMOS, analyzes how fabrication parameters shape spike‐based metrics, proposes standardized characterization ...
Luke McCarthy +2 more
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