OrthogonalSeries - Maple Programming Help

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OrthogonalSeries

 ScalarMultiply
 multiply a series by a scalar

 Calling Sequence ScalarMultiply(a, S)

Parameters

 S - orthogonal series a - scalar

Description

 • The ScalarMultiply(a, S) function multiplies the series S by the scalar a.

Examples

 > $\mathrm{with}\left(\mathrm{OrthogonalSeries}\right):$
 > $S≔\mathrm{Create}\left(n+1,\mathrm{Kravchouk}\left(n,p,q,x\right)\right)$
 ${S}{:=}{\sum }_{{n}{=}{0}}^{{\mathrm{∞}}}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\left({n}{+}{1}\right){}{\mathrm{Kravchouk}}{}\left({n}{,}{p}{,}{q}{,}{x}\right)$ (1)
 > $\mathrm{ScalarMultiply}\left(\mathrm{α},S\right)$
 ${\sum }_{{n}{=}{0}}^{{\mathrm{∞}}}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}{\mathrm{α}}{}\left({n}{+}{1}\right){}{\mathrm{Kravchouk}}{}\left({n}{,}{p}{,}{q}{,}{x}\right)$ (2)