This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)


gives Owen's T function .
  • Mathematical function, suitable for both symbolic and numerical evaluation.
  • for real .
  • OwenT is the entire function of x with no branch cut discontinuities.
  • OwenT has a branch cut discontinuity in the complex a plane running from to and from to .
  • For certain special arguments, OwenT automatically evaluates to exact values.
  • OwenT can be evaluated to arbitrary numerical precision.
  • OwenT automatically threads over lists.
Click for copyable input
Click for copyable input
Click for copyable input
Evaluate numerically:
Evaluate for complex arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Evaluate symbolically:
Parity transformations are automatically applied:
Plot Owen's T-function in the complex a plane:
Compute the CDF of SkewNormalDistribution:
Compute the probability of an uncorrelated bivariate normal over a truncated wedge:
The probability for a standard binormal variate with correlation to lie inside a triangle can be expressed using OwenT:
Visualize the region:
Evaluate the probability for a particular value of the correlation coefficient:
Use NProbability to compute the probability directly:
Use OwenT to compute the standard BinormalDistribution probability of :
Evaluate numerically:
Compute directly:
New in 8