Fermi's Golden Rule

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\begin{Bmatrix} B_{0}(z)=1\\ B_{1}(z)=z-1\\ B_{2}(z)=2z^2-3z+1\\ etc.\\ \end{Bmatrix} and generally [math]B_{k}(z)=\sum_{h=0}^{k}b_{k, h}z^{k}[/math]

[math] f(x) = \begin{cases} 1 & -1 \le x \lt 0 \\ \frac{1}{2} & x = 0 \\ 1 - x^2 & \text{otherwise} \end{cases} [/math]