Some generalizations of the Eneström–Kakeya theorem
Keywords:real polynomials, location of zeros, MATLAB
AbstractLet p(z) = a0 + a1z + a2z2 + ... + anzn be a polynomial of degree n; where the coefficients aj, j = 0, 1, 2, ..., n, are real numbers. We impose some restriction on the coefficients and then prove some extensions and generalizations of the Eneström–Kakeya theorem.
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