Lattice Green's Function for the Orthorhombic Lattice in Terms of the Complete Elliptic Integral

The real and imaginary parts of the orthorhombic lattice Green's function at the origin are expressed as a sum of simple integrals of the complete elliptic integrals of the first kind. In order to give the expressions for all values of the variable from − ∞ to + ∞, use is made of the method of analytic continuation. The results of the numerical computations are shown by figures.