Abstract
Every real polynomial with all real, distinct zeros has a corresponding ratio vector that measures the distribution of critical numbers relative to the zeros. We prove several results on the ratio vectors of Chebyshev polynomials, as well as polynomials with equally spaced zeros, and contrast the behaviors of these families of polynomials.
Citation
Matthew Boelkins. Matthew Wells. "On the Ratio Vectors of Chebyshev and Equispaced Polynomials." Missouri J. Math. Sci. 19 (1) 15 - 28, February 2007. https://doi.org/10.35834/mjms/1316092233
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