For a polynomial P(z) = α0 + α1z + ... + αnzn = αn (z – z1) (z – z2) ... (z – zn), the power sums Sm = ∑ n k=1 zm k, m = 1, 2, ... , can be calculated from the formulas ...
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J. A. Eidswick (1968) studied this question.
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