Results 1 to 10 of about 4,491 (232)
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives [PDF]
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
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On the Derivative of a Polynomial and Chebyshev Approximation [PDF]
Proceedings of the American Mathematical Society, 1953 Introduction. The location of the zeros of the derivative of a polynomial has been much studied, as has the location of the zeros of the Chebys;hev polynomial. In ?1 of the present note we set forth in a direct and elementary manner the equivalence of these two problems in a suitably specialized situation. This conclusion is mentioned (for integral 'i)
T. S. Motzkin, J. L. Walsh
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Symmetrized Chebyshev Polynomials [PDF]
Proceedings of the American Mathematical Society, 2003 We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that T
Igor Rivin
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Layered restrictions and Chebyshev polynomials [PDF]
Annals of Combinatorics, 2000 8 ...
Toufik Mansour, Alek Vainshtein
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Generalized Chebyshev Polynomials [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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Cosmographic analysis with Chebyshev polynomials [PDF]
Monthly Notices of the Royal Astronomical Society, 2018 The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances. In particular, we demonstrate that building up rational Chebyshev polynomials significantly reduces error propagations with respect to ...
Salvatore Capozziello +2 more
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Total characters and Chebyshev polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 The total character τ of a finite group G is defined as the sum of all the irreducible characters of G. K. W. Johnson asks when it is possible to express τ as a polynomial with integer coefficients in a single irreducible character. In this paper, we give a complete answer to Johnson′s question for all finite dihedral groups.
Eirini Poimenidou, H. Wolfe
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A generalization of Chebyshev polynomials
Journal of Approximation Theory, 1979 Borislav Bojanov
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Another property of Chebyshev polynomials
Journal of Approximation Theory, 1978 John A. Roulier, Richard S. Varga
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Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we will derive the explicit formulae for Chebyshev polynomials of the third and fourth kind with odd and even indices using the combinatorial method. Similar results are also deduced for their rᵗʰ derivatives.
Jugal Kishore, Vipin Verma
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