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simplification rule for infinite sum

  • To: mathgroup at smc.vnet.net
  • Subject: [mg105799] simplification rule for infinite sum
  • From: Ruth Lazkoz Sáez <ruth.lazkoz at ehu.es>
  • Date: Sat, 19 Dec 2009 06:27:23 -0500 (EST)
  • References: <200912181123.GAA16525@smc.vnet.net>

Hi,

I have managed to define rules with patterns to shift indexes on the 
coefficients of infinite sums, but I have failed to
do something so apparently simple as making Mathematica understand that this


a Sum[(n + 2) c[n] x^n, {n, 5, Infinity}] +
 b Sum[(n + 2) (n + 1) c[n] x^n, {n, 5, Infinity}]

should be simplified to this

Sum[(n + 2) (a + b (n + 1)) c[n] x^n, {n, 5, Infinity}]

Can someone help me?  Thanks a lot,

Ruth Lazkoz


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