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Question: How to deal with operator with both differential and integral?

Question:How to deal with operator with both differential and integral?

wfudong 5 Maple
polynomial operator symmetric
July 17 2016
1

In my study, I often need to verify that two operator is symmetric i.e. [P,Q]=PQ-QP=0, where A and D are operator polynomial such like  D2+4u+uxD-1 multiply with D3+uD+ux,where D is differential operator.

I tried to use the Ore_package which can easily deal with the operator polynomial without integral(i.e. D-1 term), so in my case , how to deal with operator with both differential and integral?
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