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.
 
         
	    
	
    

