OrthogonalSeries - Maple Help

Home : Support : Online Help : Mathematics : Power Series : OrthogonalSeries Package : OrthogonalSeries/Copy

OrthogonalSeries

 Copy
 duplicate a series

 Calling Sequence Copy(S)

Parameters

 S - orthogonal series

Description

 • The Copy(S) function duplicates the series $S$.
 Note: If $T$ is defined by $T≔S$, then $S$ and $T$ refer to the same internal table in Maple. Although the current version of Maple does not permit the user to directly modify the internal structure of a series, this functionality could change in future versions. In that case, changing the structure of $S$ would change $T$.

Examples

 > $\mathrm{with}\left(\mathrm{OrthogonalSeries}\right):$
 > $S≔\mathrm{Create}\left(\frac{{\left(-1\right)}^{n}}{n!},\mathrm{ChebyshevT}\left(n,x\right)\right)$
 ${S}{:=}{\sum }_{{n}{=}{0}}^{{\mathrm{∞}}}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{{\left({-}{1}\right)}^{{n}}{}{\mathrm{ChebyshevT}}{}\left({n}{,}{x}\right)}{{n}{!}}$ (1)
 > $T≔\mathrm{Copy}\left(S\right)$
 ${T}{:=}{\sum }_{{n}{=}{0}}^{{\mathrm{∞}}}\phantom{\rule[-0.0ex]{5.0px}{0.0ex}}\frac{{\left({-}{1}\right)}^{{n}}{}{\mathrm{ChebyshevT}}{}\left({n}{,}{x}\right)}{{n}{!}}$ (2)