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How is it possible to factor Sum[a]+Sum[b] to Sum[a+b] ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41982] How is it possible to factor Sum[a]+Sum[b] to Sum[a+b] ?
  • From: "Eric Duault" <eduault at yahoo.com>
  • Date: Mon, 16 Jun 2003 03:56:30 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello

I looking for a way to transform an expression in the form
Sum[a[n], {n, 1, Infinity}] + Sum[b[n], {n, 1, Infinity}]
to :
Sum[a[n]+b[n], {n, 1, Infinity}]
where a[n] and b[n] are numerical.

I tried quite a faw Mathematica fuctions, but none of the gives the required
result.
There is still the possibility to define custom transformation rules, but
Mathematica should provide a function for doing that.

Thank you for your answer.





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