Generalization of Vieta's formulae to the fractional polynomials, and generalizations the method of Graeffe-Lobachevsky

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Generalization of Vieta's formulae to the fractional polynomials, and generalizations the method of Graeffe-Lobachevsky

Two problems concerning polynomials are considered. For the first problem it is proved that the zeroes of the fractional polynomials of rational order fulfil relations similar to the Vieta's formulae for the polynomials.

In the second problem it is presented the iterative method of generalization of the Graeffe-Lobachevsky method to solution of the algebraic equations.

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Bulletin of the Polish Academy of Sciences Technical Sciences

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