where the function is as in §10.47(ii),
, , and
The series (33.9.1) converges for all finite values of
In this subsection the functions , , and
are as in §§10.2(ii) and 10.25(ii).
Here , , and
The series (33.9.3) and (33.9.4) converge for all
finite positive values of and .
Next, as with () fixed,
For other asymptotic expansions of see
Fröberg (1955, §8) and Humblet (1985).