ABSTRACT
In general, the expansions (2.05) and (2.11) diverge, and the most that can be established is that in certain regions they provide uniform asymptotic expansions of solutions of the differential equation. Divergence is illustrated by the example $(€) = With the lower limit of integration in (2.08) taken as co, for simplicity, it is verifiable by induction that
Therefore for any given value of C, A,+,(€)/A,(€) -+ a as s -t a, showing that (2.05) and (2.1 1) diverge for all values of u.
