Results 11 to 20 of about 32,100 (199)

The Chebyshev Polynomials of a Matrix [PDF]

SIAM Journal on Matrix Analysis and Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Toh, K.-C., Trefethen, L.N.
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On integer Chebyshev polynomials [PDF]

Mathematics of Computation, 1997
We are concerned with the problem of minimizing the supremum norm on [ 0 , 1 ]
Laurent Habsieger, Bruno Salvy
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Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas

Advances in Difference Equations, 2021
The principal aim of the current article is to establish new formulas of Chebyshev polynomials of the sixth-kind. Two different approaches are followed to derive new connection formulas between these polynomials and some other orthogonal polynomials. The
Waleed M. Abd-Elhameed, Youssri H. Youssri   +1 more
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Novel Expressions for the Derivatives of Sixth Kind Chebyshev Polynomials: Spectral Solution of the Non-Linear One-Dimensional Burgers’ Equation

Fractal and Fractional, 2021
This paper is concerned with establishing novel expressions that express the derivative of any order of the orthogonal polynomials, namely, Chebyshev polynomials of the sixth kind in terms of Chebyshev polynomials themselves.
Waleed Mohamed Abd-Elhameed
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GENERATING FUNCTIONS OF THE PRODUCT OF 2-ORTHOGONAL CHEBYSHEV POLYNOMIALS WITH SOME NUMBERS AND THE OTHER CHEBYSHEV POLYNOMIALS

Проблемы анализа, 2020
In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
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Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations

Journal of New Theory, 2023
In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs).
Dilek Varol
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Numerical Treatment of Multi-Term Fractional Differential Equations via New Kind of Generalized Chebyshev Polynomials

Fractal and Fractional, 2023
The main aim of this paper is to introduce a new class of orthogonal polynomials that generalizes the class of Chebyshev polynomials of the first kind. Some basic properties of the generalized Chebyshev polynomials and their shifted ones are established.
Waleed Mohamed Abd-Elhameed, Muhammad Mahmoud Alsuyuti   +1 more
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Meshless local Petrov-Galerkin method for rotating Rayleigh beam using Chebyshev and Legendre polynomials [PDF]

Archive of Mechanical Engineering, 2022
The numerical solutions are obtained for rotating beams; the inclusion of centrifugal force term makes it difficult to get the analytical solutions. In this paper, we solve the free vibration problem of rotating Rayleigh beam using Chebyshev and Legendre
Vijay Panchore
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Generalizations of Chebyshev polynomials and polynomial mappings [PDF]

Transactions of the American Mathematical Society, 2007
In this paper we show how polynomial mappings of degree K \mathfrak {K}
Chen, Yang, Griffin, James, Ismail, Mourad E.H.   +2 more
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An Extension of the Chebyshev Polynomials [PDF]

Complex Analysis and Operator Theory, 2015
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