Calculate the equivalent of (46.69) for the generalization (G_{0}left(z ; vec{r}, vec{r}^{prime} ight)) in exercise 6. Data

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Calculate the equivalent of (46.69) for the generalization \(G_{0}\left(z ; \vec{r}, \vec{r}^{\prime}\right)\) in exercise 6.

Data From Exercise 6:-

Calculate the generalization of \(G_{0}^{ \pm}\left(\vec{r}, \vec{r}^{\prime}\right)\) on the complex plane for energy, \(G_{0}\left(z ; \vec{r}, \vec{r}^{\prime}\right)\).

Equation 46.69:-

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