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## Homework Statement

Currently I am doing a problem of finding Wigner function for Fock States, while I got this derivative, I found the derivative, but I am not sure my answer is correct. please verify whether my answer is correct or not.

$$ \frac{∂^2n}{∂β^n∂(β*)^n} exp(-|β|^2-4|α||β|) $$

β and α are complex.

## Homework Equations

## The Attempt at a Solution

My solution is (-2|β|-4|α|)^(2n) exp(-|β|^2-4|α||β|)