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

$\mathrm{with}\left(\mathrm{OrthogonalSeries}\right)\:$

$S≔\mathrm{Create}\left(n+1\,\mathrm{Kravchouk}\left(n\,p\,q\,x\right)\right)$

$S≔\sum _{n=0}^{\mathrm{\infty }}\left(n+1\right)\mathrm{Kravchouk}\left(n\,p\,q\,x\right)$

$\mathrm{ScalarMultiply}\left(\mathrm{\alpha }\,S\right)$

$\sum _{n=0}^{\mathrm{\infty }}\mathrm{\alpha }\left(n+1\right)\mathrm{Kravchouk}\left(n\,p\,q\,x\right)$