Zeros of a Perturbed Polynomial

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Define the polynomials and , , the perturbed polynomial of .

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The zeros of and are shown by black and red points, respectively.

The zeros of lie on the unit circle and the zeros of lie inside the unit circle when .

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Contributed by: Vanessa Botta and Messias Meneguette (March 2011)
Open content licensed under CC BY-NC-SA


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