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RootSum

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

0.

MORE INFORMATION

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.

Basic Examples (2)

Integrating a rational function of any order:

Evaluate numerically:

Automatic simplification of RootSum objects:

Applications (3)

Properties & Relations (2)

Root

Algebraic Numbers

Polynomial Algebra

New in 3

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