RootSum

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

DetailsDetails

  • f must be a Function object such as (#^5-2#+1)&.
  • form need not correspond to a polynomial function.
  • Normal[expr] expands RootSum objects into explicit sums involving Root objects.
  • f and form can contain symbolic parameters.
  • RootSum[f,form] is automatically simplified whenever form is a rational function.
  • RootSum is often generated in computing integrals of rational functions.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Integrating a rational function of any order:

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Evaluate numerically:

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Automatic simplification of RootSum objects:

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Introduced in 1996
(3.0)