Some results on zeros of palindromic and perturbed polynomials of even degree

Autores

  • Vanessa Botta

DOI:

https://doi.org/10.5540/03.2015.003.01.0008

Palavras-chave:

Palindromic Polynomials, Zeros of Polynomials, Perturbed Polynomials

Resumo

In this paper we give necessary and sufficient conditions for all zeros of palindromic polynomial of even degree R(z) = 1 + (z + z2 + ::: + zn−1) + zn, with ∈ R, to be on the unit circle and we find  ∈ R for which S(z) = R(z)+
zn has all its zeros inside or on the unit circle.

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Publicado

2015-08-25

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