powseries - Maple Help

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powseries

 multiply
 multiplication of formal power series

 Calling Sequence multiply(a, b)

Parameters

 a, b - formal power series

Description

 • The function multiply(a, b) returns the formal power series that is the product of a and b.
 • The command with(powseries,multiply) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{powseries}\right):$
 > $\mathrm{powcreate}\left(t\left(n\right)=\frac{t\left(n-1\right)}{n},t\left(0\right)=1\right):$
 > $\mathrm{powcreate}\left(v\left(n\right)=\frac{v\left(n-1\right)}{2},v\left(0\right)=1\right):$
 > $s≔\mathrm{multiply}\left(t,v\right):$
 > $\mathrm{tpsform}\left(s,x\right)$
 ${1}{+}\frac{{3}}{{2}}{}{x}{+}\frac{{5}}{{4}}{}{{x}}^{{2}}{+}\frac{{19}}{{24}}{}{{x}}^{{3}}{+}\frac{{7}}{{16}}{}{{x}}^{{4}}{+}\frac{{109}}{{480}}{}{{x}}^{{5}}{+}{\mathrm{O}}\left({{x}}^{{6}}\right)$ (1)