The Green's function for the free space modified Helmholtz equation in two dimensions is \begin{equation} \alpha^{2}u - \Delta u = 0, \end{equation} with $\alpha^{2}$ real, is $K_{0}$. However, I am looking for the corresponding function for modified Helmholtz with $\alpha^{2}$ being purely imaginary. Can anyone provide me with a reference?
2026-03-25 01:14:07.1774401247
Modified Helmholtz for imaginary constant
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