Proof with polynomial differential operators
Got a problem that I have no idea how to approach.
The question is a follows:
is a polynomial operator of degree . Suppose is a fold root of , but not a fold root.
Verify that where is the derivative of .
I can see some use for the exponential shift formula. That would make the left hand side equal .
From here, I can't see where to go.
I'm thinking maybe there is a typo in the question. Maybe is supposed to be . However, the above is copied directly from the source. I don't know what to make of it.
Any input is greatly appreciated.
Thanks in advance.