composes several power series.


  • ComposeSeries[series1,series2,] effectively replaces the variable in series1 by series2 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.


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Basic Examples  (2)

Compose two power series:

Properties & Relations  (2)

ComposeSeries generates the series of composition of functions:

Coefficients of the composition of series can be computed using BellY:

Possible Issues  (1)

The limiting value of the second series must coincide with the expansion point of the first series:

Introduced in 1996