How can I write the given statement using mathematical symbols

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How do I write this in mathematical symbols: "Result is equal to the sum of product of $a(i)$ and $b(j)$ when $i,j$ are natural numbers and satisfy the property $i+j = k$"?

I forgot to add one more constraint that :

i and j are in the range [0,n] k is in the range [0,2n]

n is a natural number.

Sorry for the late update.

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You can note that $j=k-i$ and say $$c(k)=\sum _{i=0}^{k}a(i)b(k-i)$$