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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Mathematics, 2018 In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds.
Taekyun Kim +3 more
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Shifted Chebyshev operational matrices to solve the fractional time-delay diffusion equation
Partial Differential Equations in Applied Mathematics, 2023 In this paper, Chebyshev operational matrices collocation technique is proposed for solution of variable order derivative within the fractional time-delay diffusion equation.
Adnan K. Farhood, Osama H. Mohammed
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Limit theorems for linear eigenvalue statistics of overlapping matrices [PDF]
, 2015 The paper proves several limit theorems for linear eigenvalue statistics of overlapping Wigner and sample covariance matrices. It is shown that the covariance of the limiting multivariate Gaussian distribution is diagonalized by choosing the Chebyshev ...
Kargin, Vladislav
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On the Generalized Gaussian Fibonacci Numbers and Horadam Hybrid Numbers: A Unified Approach
Axioms, 2022 In this paper, we consider an approach based on the elementary matrix theory. In other words, we take into account the generalized Gaussian Fibonacci numbers. In this context, we consider a general tridiagonal matrix family.
Fatih Yılmaz, Mustafa Özkan
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Studies in Sums of Finite Products of the Second, Third, and Fourth Kind Chebyshev Polynomials
Mathematics, 2020 In this paper, we consider three sums of finite products of Chebyshev polynomials of two different kinds, namely sums of finite products of the second and third kind Chebyshev polynomials, those of the second and fourth kind Chebyshev polynomials, and ...
Taekyun Kim +3 more
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Least Squares Method For Solving Integral Equations With Multiple Time Lags [PDF]
Engineering and Technology Journal, 2010 The main purpose of this work is to propose an approximate method to solveintegral equation with multiple time lags (IEMTL) namely least squares methodwith aid of Chebyshev polynomials of (first, second, third, and fourth)kinds.Example is given as an ...
Suha N. Shehab +2 more
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A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]
, 2008 This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
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On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Scientific World Journal, 2013 The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
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Brauer-Type Inclusion Sets of Zeros for Chebyshev Polynomial
Mathematics, 2019 The generalized polynomials such as Chebyshev polynomial and Hermite polynomial are widely used in interpolations and numerical fittings and so on. Therefore, it is significant to study inclusion regions of the zeros for generalized polynomials.
Xiao Feng, Yaotang Li
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