Systematic literature review of the performance characteristics of Chebyshev polynomials in machine learning applications for economic forecasting in low-income communities in sub-Saharan Africa. [PDF]
SN Bus Econ, 2022 Cordes D, Latifi S, Morrison GM.
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CHEBYSHEV POLYNOMIALS ON REGULAR POLYGONS IN THE COMPLEX PLANE
Ural Mathematical JournalThe Chebyshev problem is studied for a regular \(m\)-gon \(G_m\), \(m\geq 3\), in the complex plane \(\mathbb{C}\). Let \(\mathscr{P}_n^1\) be the set of algebraic polynomials of a given degree \(n\) with unit leading coefficient. The problem is to find
Elizaveta O. Shcherbakova
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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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Operational matrices based on the shifted fifth-kind Chebyshev polynomials for solving nonlinear variable order integro-differential equations. [PDF]
Adv Differ Equ, 2021 Jafari H, Nemati S, Ganji RM.
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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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An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials
AlgorithmsDue to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future.
Chunfu Zhang +6 more
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On Fractional Orthonormal Polynomials of a Discrete Variable
Discrete Dynamics in Nature and Society, 2015 A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area +3 more
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Boundary Value ProblemsThis study utilizes a spectral tau method to acquire an accurate numerical solution of the time-fractional diffusion equation. The central point of this approach is to use double basis functions in terms of certain Chebyshev polynomials, namely Chebyshev
W. M. Abd-Elhameed +2 more
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Tridiagonal matrices representations of generalized bivariate complex polynomials
Journal of Innovative Applied Mathematics and Computational SciencesThis paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants.
K. L. Verma
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Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials. [PDF]
Adv Differ Equ, 2020 Hadid SB +3 more
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