§33.20 Expansions for Small
Contents
- §33.20(i) Case

- §33.20(ii) Power-Series in
for the Regular
Solution - §33.20(iii) Asymptotic Expansion for the Irregular Solution
- §33.20(iv) Uniform Asymptotic Expansions
§33.20(ii) Power-Series in
for the Regular
Solution
§33.20(iii) Asymptotic Expansion for the Irregular Solution
§33.20(iv) Uniform Asymptotic Expansions
For a comprehensive collection of asymptotic expansions that cover
and
as
and are uniform in
, including unbounded values, see
Curtis (1964a, §7). These expansions are in terms of elementary
functions, Airy functions, and Bessel functions of orders
and
.







