powadd - Maple Help

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powseries

 powadd
 addition of formal power series

 Calling Sequence powadd(A, B, ..., Z)

Parameters

 A, B, ..., Z - arbitrary number of formal power series

Description

 • 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.

Examples

 > $\mathrm{with}\left(\mathrm{powseries}\right):$
 > $\mathrm{powcreate}\left(t\left(n\right)=\frac{t\left(n-1\right)}{n},t\left(0\right)=1\right):$
 > $\mathrm{powcreate}\left(v\left(n\right)=\frac{v\left(n-1\right)}{2},v\left(0\right)=1\right):$
 > $s≔\mathrm{powadd}\left(t,v\right):$
 > $\mathrm{tpsform}\left(s,x,7\right)$
 ${2}{+}\frac{{3}}{{2}}{}{x}{+}\frac{{3}}{{4}}{}{{x}}^{{2}}{+}\frac{{7}}{{24}}{}{{x}}^{{3}}{+}\frac{{5}}{{48}}{}{{x}}^{{4}}{+}\frac{{19}}{{480}}{}{{x}}^{{5}}{+}\frac{{49}}{{2880}}{}{{x}}^{{6}}{+}{O}{}\left({{x}}^{{7}}\right)$ (1)