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I have $n$ power series. How can I find the power series of the product of these $n$ series? If there are two series $(a_m)$ and $(b_m)$ then the product series $(c_m)$ is given by the Cauchy product,

$$c_m = \sum_{k=0}^m a_k b_{m-k}$$

How does this generalize to more series?

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    Please do a little research before asking a broad non specific question such as the one above. have you tried any multiplication? can you add some more detail please.2011-06-15
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    The question needed a little cleaning up, but it was a long way from a 'broad non specific question' and it shows clear evidence of some research. I've edited to make it more obvious what's being asked. In general I think the first response to a question like this should be to edit for clarity rather than downvote.2011-06-15
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    @Chris, It is your cleaned upversion that deservesthe the +1 not the original question.2011-06-15
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    @Arjang: I found the OP's original question to be clear and specific.2011-06-15
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    @Pete @Chris, cool then my bad. I should have commented that I could'nt make sense of it and nothing towards the OP.2011-06-15

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