Problem with sums differentiation
- To: mathgroup at smc.vnet.net
- Subject: [mg13143] Problem with sums differentiation
- From: Dmitri Tcherniak <famdt at pop.dtu.dk>
- Date: Mon, 13 Jul 1998 07:41:56 -0400
- Sender: owner-wri-mathgroup at wolfram.com
I have problems with infinite sums integration, differentiations, multiplications when the imax is infinity or a symbol. For example In: a[x_,t_]=Sum[uj[t]*Cos[j Pi x],{j,1,Infinity}]; Dt[a[x,t],x] gives me Out: Dt[Sum[uj[t] Cos[j Pi x], {j, 1, Infinity}], x] but not something like Sum[-uj[t]*j*Pi*Sin[j Pi x],{j,1,Infinity}] Is there a way to move the integration (differentiation) sigh under the sum sigh and force Mathematica to evaluate the terms? Thank you Dmitri Tcherniak