provided that both .
Again, denotes an arbitrary small positive constant. Also,
Error bounds and exponentially-improved expansions are
derivable by combining §§13.7(ii) and 13.7(iii)
with (13.14.2) and (13.14.3). See also Olver (1965).
For an asymptotic expansion of as
that is valid in the sector and where the
real parameters , are subject to the growth conditions
, , see