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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
Tutorials »
|
Series
InverseSeries
SeriesData
See Also »
|
Series Expansions
More About »
ComposeSeries
ComposeSeries
composes several power series.
MORE INFORMATION
ComposeSeries
effectively replaces the variable in
by
and so on.
Two series can only meaningfully be composed when the point about which the first series is expanded corresponds to the limiting value of the second series at its expansion point.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Compose two power series:
Compose two power series:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Properties & Relations
(1)
Possible Issues
(1)
The limiting value of the second series must coincide with the expansion point of the first series:
SEE ALSO
Series
InverseSeries
SeriesData
TUTORIALS
Power Series
Making Power Series Expansions
Operations on Power Series
The Representation of Power Series
Composition and Inversion of Power Series
MORE ABOUT
Series Expansions
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