Upper-half-plane Green's function G(i, 2i) = log(3)/(2π)

Green's function of the upper half-plane H = {Im(z) > 0} for the Dirichlet Laplacian: G(z, w) = (1/(2π)) · log |z − w̄|/|z − w| — constructed by the method of images (mirror the source at w across the real axis to w̄, with opposite sign). …