The Owen -function
is defined as
(1)
|
for .
It is implemented in the Wolfram Language
as OwenT[x,
a].
The function is symmetric about and antisymmetric about
, so
(2)
| |||
(3)
|
Special values are given by
(4)
| |||
(5)
|
where erfc is the complementary error function.