The function powadd(A, B, ..., Z) returns the formal power series that is the sum of A, B, ..., Z.

The command with(powseries,powadd) allows the use of the abbreviated form of this command.

$\mathrm{with}\left(\mathrm{powseries}\right)\:$

$\mathrm{powcreate}\left(t\left(n\right)=\frac{t\left(n-1\right)}{n}\,t\left(0\right)=1\right)\:$

$\mathrm{powcreate}\left(v\left(n\right)=\frac{v\left(n-1\right)}{2}\,v\left(0\right)=1\right)\:$

$s≔\mathrm{powadd}\left(t\,v\right)\:$

$\mathrm{tpsform}\left(s\,x\,7\right)$

$2+\frac{3}{2}x+\frac{3}{4}{x}^2+\frac{7}{24}{x}^3+\frac{5}{48}{x}^4+\frac{19}{480}{x}^5+\frac{49}{2880}{x}^6+O\left(x^7\right)$