RE: Generalized functions and integral transforms
- To: mathgroup at smc.vnet.net
- Subject: [mg34349] RE: [mg34338] Generalized functions and integral transforms
- From: "DrBob" <majort at cox-internet.com>
- Date: Thu, 16 May 2002 05:08:33 -0400 (EDT)
- Reply-to: <drbob at bigfoot.com>
- Sender: owner-wri-mathgroup at wolfram.com
My previous experience with the La Place transform functions is that the examples in Help are the ONLY ones that work properly. (Good choice.) Bobby -----Original Message----- From: Name [mailto:mee at home.com.redline.ru] To: mathgroup at smc.vnet.net Subject: [mg34349] [mg34338] Generalized functions and integral transforms Tanh[y]- LaplaceTransform[InverseLaplaceTransform[Tanh[y],y,x],x,y]// Simplify Out[1]= -1 Where does it go wrong? Doing it step by step: InverseLaplaceTransform[Tanh[y], y, x] Out[2]= 2*Sum[(-1)^K$144*DiracDelta[2*K$144 - x], {K$144, 0, Infinity}] LaplaceTransform[(-1)^K$144*DiracDelta[2*K$144 - x], x, y] Out[3]= ((-1)^K$144*UnitStep[2*K$144])/E^(2*K$144*y) Why everything works as expected if we set UnitStep[0]==1/2?