We indicate here how to obtain the limiting forms of
, and as
, with and fixed, in the following cases:
When with , Equations (33.16.4)–(33.16.7)
are combined with (33.10.1).
When with , Equations (33.16.10)–(33.16.13)
are combined with
Corresponding approximations for and
as can be obtained via
(33.16.17), and as via (33.16.18).
When with , combine (33.20.1),
(33.20.2) with §§10.7(ii), 10.30(ii).
For asymptotic expansions of and
as with and
fixed, see Curtis (1964a, §6).