How to express a sum of two series in terms of known sums? – math.stackexchange.com

How to express a sum of two series in terms of known sums? – math.stackexchange.com

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If i have $\sum_{n=1}^\infty a_n=A$ and $\sum_{n=1}^\infty b_n=B$, can i write $\sum_{n=1}^\infty a_n\cdot b_n$ in function of $A$ and $B$ ?

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