Find a General Asymptotic Approximation (AsymptoticRSolveValue)

A linear ordinary difference equation (OΔE) can be approximated by a general asymptotic series expansion of the form when it has a irregular singular at . This example shows how to obtain such an approximation using AsymptoticRSolveValue.

Find an asymptotic series solution for a linear OΔE with a irregular singular point.

Pick a value for the arbitrary constant.

Plot the approximation along with the exact solution. The two are visually indistinguishable.