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Palindromic and perturbed polynomials: zeros location

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Abstract

We give necessary and sufficient conditions for all zeros of the palindromic polynomial R(z)=1+lambda(z+z (2)+aEuro broken vertical bar+z (n-1))+z (n) , , to be on the unit circle and we find for which S(z)=R(z)+gamma z (n) , n natural, has all its zeros in the closed unit disc.

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palindromic polynomial, perturbed polynomial, zero

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English

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Acta Mathematica Hungarica. Dordrecht: Springer, v. 143, n. 1, p. 81-87, 2014.

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Faculdade de Ciências e Tecnologia
FCT
Campus: Presidente Prudente


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