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DOCUMENTATION CENTER SEARCH
Mathematica
>
Built-in
Mathematica
Symbol
Power Series
Making Power Series Expansions
Operations on Power Series
The Representation of Power Series
Composition and Inversion of Power Series
Solving Equations Involving Power Series
Tutorials »
|
Series
ComposeSeries
Solve
InverseFunction
See Also »
|
Series Expansions
More About »
InverseSeries
InverseSeries
[
s
]
takes the series
s
, and gives a series for the inverse of the function represented by
s
.
InverseSeries
[
s
,
x
]
uses the variable
x
in the inverse series.
MORE INFORMATION
InverseSeries
performs "reversion" of series.
Given a series
,
InverseSeries
[
s
,
x
]
gives a series for
y
such that
.
InverseSeries
can be applied to any
SeriesData
object with the appropriate structure, whether or not it has been generated by
Series
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Find a series for the inverse function of
x
Sin
[x]
:
In[1]:=
Out[1]=
Find a series for the inverse function of
Sin
[x]
:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Find the series for the inverse of the function represented by an explicitly specified series:
In[1]:=
Out[1]=
Invert again to get back the original function:
In[2]:=
Out[2]=
Generalizations & Extensions
(1)
Applications
(1)
Properties & Relations
(1)
SEE ALSO
Series
ComposeSeries
Solve
InverseFunction
TUTORIALS
Power Series
Making Power Series Expansions
Operations on Power Series
The Representation of Power Series
Composition and Inversion of Power Series
Solving Equations Involving Power Series
MORE ABOUT
Series Expansions
New in 1