0(n-0)} \, \varepsilon^{n-0} \, (\varepsilon^0 + |x|^0)^{0-n} \, \sum_{i,k,l=0}^n (\partial_l \overline{H}_{ik}(x))^0 \, \delta_{pq}.\end{aligned}$$  **Proof.** See [@Brendle0], Proposition 00.\  \[Hessian.of.F.0\] The second order partial derivatives of the function $F(\xi,\varepsilon)$ are given by $$\begin{aligned} 