Defining a custom Leibnitz operator in Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg92312] Defining a custom Leibnitz operator in Mathematica*From*: GidiL <gidienator at gmail.com>*Date*: Sat, 27 Sep 2008 22:18:36 -0400 (EDT)

Dear All! I would appreciate any input on the following problem. I would like to define a custom differential operator with the following properties: 1. it would be denoted with a customized symbol that I would create (e.g. the Greek letter \delta, or any combination, such as \bar {\delta}); 2. it would possess the Leibnitz property of differentiation; 3. it would be possible to define its action a priori on certain elements (e.g. \delta of a constant would be zero, etc.). Any help would be greatly appreciated. Thanks, Gideon