In other areas, such as formal analysis, it is more convenient to work directly with the power series themselves.

In particular it may be defined by the following power series:

Figure 4 shows the relative errors using the power series.

In other cases the quantile functions may be developed as power series.

From this, one can extrapolate to obtain other power series.

Then can be expanded into a power series and inverted.

Moreover there can be no other power series with this property.

Let be a function which corresponds to a power series.

The transition between the two materials can usually be approximated by means of a power series.

It treats the case where the power series are formal.