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Defining operators containing derivatives

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67879] Defining operators containing derivatives
  • From: "cosmicstring" <cosmicstring at gmail.com>
  • Date: Tue, 11 Jul 2006 05:58:56 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I have been using Mathematica as a simple calculator but now I need
something different which Mathematica is capable of but out of my
knowledge.

I have, say, two operators:

A:=D[f[x,theta],x]+Sinh[2*x]*D[f[x,theta],theta]
B:=-Sinh[x+I*theta*]*D[f[x,theta],x]+Cosh[2*x]*D[f[x,theta],theta]+Tanh[5*x]*f[x,theta]

I want to define A and B as operators and apply them to any f[x,theta]
as,

AB f[x,theta]+BA g[x,theta]

Any help would be appreciated.


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