Re: How can I simplify a series with some multiplicative factor?

*To*: mathgroup at smc.vnet.net*Subject*: [mg55668] Re: [mg55662] How can I simplify a series with some multiplicative factor?*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Sat, 2 Apr 2005 01:27:59 -0500 (EST)*Reply-to*: hanlonr at cox.net*Sender*: owner-wri-mathgroup at wolfram.com

x^2 Sum[C[n] x^n,{n,0,Infinity}] /. Sum->mySum /. x^m_. * mySum[term_, iter_] :> Sum[term*x^m,iter] Sum[x^(n + 2)*C[n], {n, 0, Infinity}] Bob Hanlon > > From: Zhou Jiang <jiangzhou_yz at yahoo.com> To: mathgroup at smc.vnet.net > Date: 2005/04/01 Fri AM 05:37:09 EST > To: mathgroup at smc.vnet.net > Subject: [mg55668] [mg55662] How can I simplify a series with some multiplicative factor? > > > Hi, My colleagues, > I want Mathematica to simplify the following expression > > x^2 Sum[C[n] x^n ,{n,0,Infinity}] > > I wrote Simplify[%] to do the job but the expression is not changed at all. How can I get the result something like > > C[n] x^(n+2), > > i.e., I hope Mathematica can move the x^2 term in the summation operator. Can anyone give me some idea? Thank you very much. > > Daxin Shi > >