Stokes constant determined by a new application of the \(F\)-matrix method (Q1290404)

The authors use the \(F\)-matrix method, combined with the phase-integral approximation in a new way to calculate Stokes constants in particular cases. By constructing an exact invariant, associated with a one-dimensional differential equation of Schrödinger type, they calculate under certain conditions, a Stokes constant when two linearly independent solutions to the differential equation are known close to the transition point. In an application they use their method to calculate a Stokes constant. The result obtained in this application is well-known, but the method by which it is obtained is new.