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RootRootReduce

RootSum

FilledSmallSquareRootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

FilledSmallSquaref must be a Function object such as (#^5 - 2 # + 1)&.

FilledSmallSquareform need not correspond to a polynomial function.

FilledSmallSquareNormal[expr] expands RootSum objects into explicit sums involving Root objects.

FilledSmallSquaref and form can contain symbolic parameters.

FilledSmallSquareRootSum[f, form] is automatically simplified whenever form is a rational function.

FilledSmallSquareRootSum is often generated in computing integrals of rational functions.

FilledSmallSquare See The Mathematica Book: Section 3.4.3.

FilledSmallSquare See also: Root.

FilledSmallSquare Related package: Algebra`SymmetricPolynomials`.

Further Examples

RootRootReduce