Results 41 to 50 of about 507 (157)
On the (p, q)–Chebyshev Polynomials and Related Polynomials
Mathematics, 2019 In this paper, we introduce ( p , q ) ⁻Chebyshev polynomials of the first and second kind that reduces the ( p , q ) ⁻Fibonacci and the ( p , q ) ⁻Lucas polynomials.
Can Kızılateş +2 more
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Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography
Mathematics, 2023 Since their introduction, Chebyshev polynomials of the first kind have been extensively investigated, especially in the context of approximation and interpolation.
Vangelis Marinakis +3 more
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Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2015 : The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport ...
Ökkeş EGE +2 more
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Automated knowledge based filter synthesis using modified Chebyshev polynomials of the first kind
Facta universitatis - series: Electronics and Energetics, 2012 The paper presents the automated design of active RC and programmable filters. The approximating function is derived using Chebyshev orthogonal polynomials of the first kind. Optimization is performed using symbolic manipulation of expressions inputted into computer algebra system.
Vlastimir Pavlovic +2 more
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Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials
JTAM (Jurnal Teori dan Aplikasi Matematika)Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika +2 more
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Derivations and identities for Chebyshev polynomials of the first and second kinds
, 2019 In this paper we follow the general approach, proposed earlier by the first author, which is derived from the invariant theory field and provides a way of obtaining of the polynomial identities for any arbitrary polynomial family. We introduce the notion of Chebyshev derivations of the first and second kinds, which is based on the polynomial algebra ...
Bedratyuk, Leonid, Luno, Nataliia
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Известия Иркутского государственного университета: Серия "Математика"Within the framework of the theory of microstructural deformation, a new approach is proposed for constructing a solution to the bending equation of a long rectangular nanoplate that is under the influence of a transverse load.
O.V. Germider, V. N. Popov
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Boundary Value ProblemsThis paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem +3 more
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Orthogonal Polynomials of Compact Simple Lie Groups
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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Solution of Singular Integral Equations of the First Kind with Cauchy Kernel
Communications in Advanced Mathematical Sciences, 2019 In this paper an analytic method is developed for solving Cauchy type singular integral equations of the first kind, over a finite interval. Chebyshev polynomials of the first kind, $T_n(x)$, second kind, $U_n(x)$, third kind, $V_n(x)$, and fourth kind, $
B.n. Mandal, Subhabrata Mondal
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