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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.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Integrating a rational function of any order:
In[1]:=
Out[1]=
Evaluate numerically:
In[2]:=
Out[2]=
Automatic simplification of
RootSum
objects:
In[1]:=
Out[1]=
Scope
(11)
Applications
(3)
Properties & Relations
(2)
SEE ALSO
Root
TUTORIALS
Algebraic Numbers
MORE ABOUT
Polynomial Algebra
New in 3
© 2008 Wolfram Research, Inc.
0.
EXAMPLES
Basic Examples 
Scope