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Question: Algebra with generic polynoms/rational fractions

Question:Algebra with generic polynoms/rational fractions

1sy8 8 Maple
array
August 18 2006
0
Hi all. Is it possible to construct a generic polynom of degree n with generic coefficients a1 a2 .. an ? I would like to be able to write things like Sum(a_i X^i, i=1..n) in all generality. How to specify the coefficients (lists, arrays .. what ? ) ? Afterwards, the goal would be to be able to get the numerator and denominator of a sum of rational fractions indexed somehow by i plus a set of very generic coefficients a_i. Any hint of how to do this kind of manipulation is most welcome, even in the simple case where we are given the value of n from the beginning. Thank you for your attention.
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