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The Approximate Solution of Heat Radiation in A Semi-infinite Solid by using Shifted Chebyshev Polynomials of the First kind

AUSTRALIAN JOURNAL OF BASIC AND APPLIED SCIENCES, 2018
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1D and 2D economical FIR filters generated by Chebyshev polynomials of the first kind

International Journal of Electronics, 2013
Christoffel–Darboux formula for Chebyshev continual orthogonal polynomials of the first kind is proposed to find a mathematical solution of approximation problem of a one-dimensional (1D) filter function in the z domain. Such an approach allows for the generation of a linear phase selective 1D low-pass digital finite impulse response (FIR) filter ...
Vlastimir Dragoljub Pavlović, Nebojša Stanojko Dončov, Dejan Gradimir Ćirić   +2 more
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Orthogonal Polynomials for Modified Chebyshev Measure of the First Kind

Results in Mathematics, 2016
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Cvetković, Aleksandar, Matejić, Marjan M., Milovanović, Gradimir V.   +2 more
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Orthogonal rational functions arising from the Chebyshev polynomials of first and second kind

Journal of Mathematical Analysis and Applications, 2023
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James Griffin, Sara Mahmoud
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Precise integration methods based on the Chebyshev polynomial of the first kind

Earthquake Engineering and Engineering Vibration, 2008
This paper introduces two new types of precise integration methods based on Chebyshev polynomial of the first kind for dynamic response analysis of structures, namely the integral formula method (IFM) and the homogenized initial system method (HISM).
Wang, M, Au, FTK
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Expansion of functions in a Fourier-Chebyshev series by shifted Chebyshev polynomials of the first kind

Journal of Mathematical Sciences, 1994
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Kozhukhovskiĭ, A. D., Litvin, A. I.
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Resultants of Chebyshev Polynomials: the First, Second, Third, and Fourth Kinds

Canadian Mathematical Bulletin, 2015
AbstractWe give an explicit formula for the resultant ofChebyshev polynomials of the ûrst, second, third, and fourth kinds. We also compute the resultant of modiûed cyclotomic polynomials.
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Solution of the system of Cauchy-type singular integral equations of the first kind by third- and fourth- kind Chebyshev polynomials

AIP Conference Proceedings, 2015
In this study, the solutionsof system of the first kind Cauchy type singular integral equation are presented for bounded at the left limit point x = −1 and unbounded at the right limit point. Numerical solutions are presented for mentioned case by transforming first kind of singular integral equations to the system of linear equation using Chebyshev ...
Duru, Hatice Kubra, Yusufoglu, Elin
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Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds

International Journal of Systems Science, 1988
A novel and general approach for obtaining the delay operational matrix of shifted Chebyshev polynomials of first or second kind is presented. This operational matrix is exact in the sense that it does not involve any approximation. Next, this paper shows the application of the delay operational matrix in the analysis of time-delay systems.
B. M. MOHAN, K. B. DATTA
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Chebyshev polynomial solution of the system of Cauchy-type singular integral equations of the first kind

International Journal of Computer Mathematics, 2012
This paper presents a Chebyshev series method for the numerical solutions of system of the first kind Cauchy type singular integral equation SIE. The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density functions.
Turhan, İlkem, Oğuz, Hüseyin, Yusufoğlu, Elçin   +2 more
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