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


gives the inverse complementary error function obtained as the solution for z in .
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Explicit numerical values are given only for real values of s between 0 and 2.
  • For certain special arguments, InverseErfc automatically evaluates to exact values.
  • InverseErfc can be evaluated to arbitrary numerical precision.
Evaluate numerically:
Evaluate numerically:
Click for copyable input
Click for copyable input
Exact results for special arguments:
Evaluate to high precision:
The precision of the output tracks the precision of the input:
Series expansion:
TraditionalForm formatting:
InverseErfc threads element-wise over lists and arrays:
Generate Gaussian-distributed random numbers:
Solve a transcendental equation:
Numerically find a root of a transcendental equation:
Compose with the inverse function:
Use PowerExpand to disregard multivaluedness of the inverse function:
InverseErfc is a numeric function:
InverseErfc evaluates numerically only for :
Riemann surface of InverseErfc:
New in 3