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Question: Sumfunctions of power series

Question:Sumfunctions of power series

Beaumonde 40 Maple
error convert integral infinity
May 19 2010
0

with convert and FormalPowerSeries one can find power series of some functions. WIth the function int one can sum / make integrals of expressions.

I am new to Maple and have tried finding the sum function of the product of two power series :

in both cases sum of n from 0 to infinity
 
how to program Maple to find the sum function of f(x), g(x)
and g(x)*(f(x) ?

Code is most wellcome as my results seems to contradict pure math evaluation i.e. I have likely made an error.

BR
Beaumonde

 
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