For hedging purposes, one needs to compute the Deltas given by (12). They are
obtained by taking derivatives of the option price (35) with respect to ξ and x.
Note that x appears only in the payoff function h (specifically in the functions
Ψ±), while ξ appears also in the density functions G and qT , and in the domain of
integration, making the corresponding formula more complicated and numerically
involved.