For these and general results when is half an odd integer see
§§10.47(ii) and 10.49(i).
See §§9.6(i) and 9.6(ii).
With the notation of §12.14(i),
Principal values on each side of these equations correspond.
For the functions and see §13.2(i).
For the functions and see
In all cases principal branches correspond at least when
For see (16.2.1).
With as in §15.2(i), and with and
as and in . For this result see
Watson (1944, §5.7).