convert the multiplication of two sums into a double sum

Question:convert the multiplication of two sums into a double sum

Posted: chrtzstn 55 Product: Maple

February 04 2015

I wish to convert:

Sum(x[k],k=1..n)*Sum(y[k],k=1..m) -> Sum(Sum(x[j]*y[k],j=1..n),k=1..m)

Can anybody show me an elegant way to do it?

Gracias

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