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Chebyshev representation for rational functions
Sbornik: Mathematics, 2010An eective representation is obtained for rational functions all of whose critical points, apart from g 1, are simple and their corresponding critical values lie in a four-element set. Such functions are described using hyperelliptic curves of genus g > 1. The classical Zolotarev fraction arises in this framework for g = 1. Bibliography: 8 titles.
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Chebyshev Polynomials as Basis Functions
2018In the present chapter some of the important properties of Chebyshev polynomials are described, including their recursion relations, their analytic expressions in terms of the powers of the variable x, where \( -1\le x\le 1\), and the mesh points required for the Gauss–Chebyshev integration expression described in Chap. 3.
George Rawitscher +2 more
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Chebyshev expansions for Abramowitz functions
Applied Numerical Mathematics, 1992The Abramowitz functions \(J_ n(x)=\int^ x_ 0 t^ n \exp(-t^ 2- x/t)dt\), \(n\) integer, are evaluated by using Chebyshev expansions. Since these functions satisfy the stable recurrence \[ 2J_ n(x)=(n-1)J_{n- 2}(x)+xJ_{n-3}(x),\quad n=3,4,\dots, \] only the coefficients to 20 decimal places of the expansions for \(J_ 0,J_ 1\) and \(J_ 2\) are given.
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Cauchy means involving Chebyshev functional
Proceedings of A. Razmadze Mathematical Institute, 2009Cauchy means involving Chebyshev ...
Jakšetić, Julije +2 more
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Chebyshev expansions for wave functions
Computer Physics Communications, 1974Abstract Chebyshev series expansion of solutions of linear differential equations which occur in atomic scattering problems is discussed. We apply this technique to obtain both the regular and the irregular radial Coulomb wave functions. The Chebyshev expansion technique is extended to evaluate linearly independent solutions for the modified Coulomb ...
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Some inequalities for the Chebyshev functional
2001The Chebyshev functional is a functional of three vector arguments consisting of the two real sequences of numbers, and a sequence of weights of positive numbers; formed as the difference of the two sides in the Chebyshev inequality. The author obtains some inequalities related to this functional, by starting from some elementary inequalities, or using
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SARS-CoV-2 variants, spike mutations and immune escape
Nature Reviews Microbiology, 2021William T Harvey +2 more
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Functional nanoparticles through π-conjugated polymer self-assembly
Nature Reviews Materials, 2020Liam R Macfarlane +2 more
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Functional Imaging of Cancer with Emphasis on Molecular Techniques
Ca-A Cancer Journal for Clinicians, 2007Mohamed Houseni
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