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08/24/12 05:55am

I want to work with determinants of matrices where some or all entries in the matrices are differential operators. Please see the attached file for an example.

What I am looking for is a way to
a) Make the operators (automatically) compose without manually having to insert @'s in the expression Mathematica outputs. This gets tiresome and error-prone with even 4x4 matrices. This should (preferably) be done before the operators act on the expression. Maybe using Composition[] in a clever way?

b) Make the differentiation work even if the operators carry negative sign. Now I have to manually add parentheses to perform the differentiation.

I understand that this is really an operator algebra I could (should?) define, but it seems I'm almost there as-is.

Any help much appreciated!

Attachment: comp-diff-op.nb, URL: ,
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