ComposeSeries
ComposeSeries[series1, series2, ...] composes several power series.
Examples
Compose two series:
s1 = Series[Exp[x], {x, 0, 3}];
s2 = Series[Sin[y], {y, 0, 3}];
ComposeSeries[s1, s2]Please visit the official Wolfram Language Reference for more details.