multconst - Maple Help

powseries

 multconst
 multiplication of a power series by a constant

 Calling Sequence multconst(p, const)

Parameters

 p - formal power series const - scalar constant

Description

 • The function multconst(p, const) returns the formal power series where each coefficient is const times the corresponding coefficient in p.
 • The command with(powseries,multconst) allows the use of the abbreviated form of this command.

Examples

 > $\mathrm{with}\left(\mathrm{powseries}\right):$
 > $\mathrm{powcreate}\left(t\left(n\right)=\frac{t\left(n-1\right)}{n},t\left(0\right)=1\right):$
 > $s≔\mathrm{multconst}\left(t,-42\right):$
 > $\mathrm{tpsform}\left(s,x\right)$
 ${-42}{-}{42}{}{x}{-}{21}{}{{x}}^{{2}}{-}{7}{}{{x}}^{{3}}{-}\frac{{7}}{{4}}{}{{x}}^{{4}}{-}\frac{{7}}{{20}}{}{{x}}^{{5}}{+}{O}{}\left({{x}}^{{6}}\right)$ (1)