analytic continuation

The standard method of analytic continuation starts with a function f(z) defined by its power-series expansion (7.5-4) inside some circle |z-a|=r.

Using (2.6), (2.15)-(2.18) and (2.54) in the same way as in the cases considered earlier, we get that the series (0.14) determines the analytic continuation of the Green function of the second boundary value problem into the domain K_B∩|k|<𝛽 with the property (0.23).