Elizabeth Skubak

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Consider the following questions for points a1, a2 in the unit disc, D. If q(z) = (z − a1)(z − a2), when is q the derivative of a polynomial with all of its zeros on the unit circle, ∂D? If an ellipse E with foci a1, a2 is inscribed in a triangle with vertices on ∂D, when is E tangent at the midpoints to a triangle with vertices on ∂D? We show that these(More)
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