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Combinações lineares de polinômios de Chebyshev e polinômios auto-recíprocos
(Universidade Estadual Paulista (Unesp), 2019-08-15)
O presente trabalho tem como objetivo principal estudar o comportamento dos zeros de alguns tipos de polinômios auto-recíprocos gerados a partir de polinômios quaseortogonais de Chebyshev de ordens um e dois. Os zeros dos ...
On a moment problem associated with Chebyshev polynomials
(Elsevier B.V., 2012-05-15)
Given a sequence {mu(n)}(n-0)(infinity) of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function phi on (1, infinity), such thatmu(n) = integral(infinity)(1) ...
On a moment problem associated with Chebyshev polynomials
(Elsevier B.V., 2012-05-15)
Given a sequence {mu(n)}(n-0)(infinity) of real numbers, we find necessary and sufficient conditions for the existence and uniqueness of a distribution function phi on (1, infinity), such thatmu(n) = integral(infinity)(1) ...
On the behavior of chebyshev's method applied to cubic polynomials
This paper shows the dynamical behavior of the well-known Chebyshev method when it is applied to cubic polynomials. We present the scaling theorem associated to the method and we study the real dynamics of the method. The ...
Irreducibility criteria for reciprocal polynomials and applications
(Mathematical Association of America, 2017-01)
We present criteria for determining irreducibility of reciprocal polynomials over the field of rational numbers. We also obtain some combinatorial results concerning the irreducibility of reciprocal polynomials. As a ...
Power expansions in terms of shifted Chebyshev-Lanczos polynomials
(Venezuela, 2010)
Power expansions in terms of shifted Chebyshev-Lanczos polynomials
(Venezuela, 2010)
Solutions For The Klein-gordon And Dirac Equations On The Lattice Based On Chebyshev Polynomials
(Springer Basel AGBasel, 2016)
Polinômios Palindrômicos com Zeros somente Reais
(Universidade Estadual Paulista (Unesp), 2016-07-28)
Neste trabalho foi realizado um estudo sobre o comportamento dos zeros de polinômios palindrômicos, com foco nos zeros reais. Condições necessárias e suficientes para que um polinômio palindrômico com coeficientes reais ...
Polinômios Palindrômicos com Zeros somente Reais
(Universidade Estadual Paulista (UNESP), 2016)