(For other notation see Notation for the Special Functions.)
|arbitrary small positive constant.|
|Euler’s constant (§5.2(ii)).|
Unless otherwise noted, primes indicate derivatives with respect to the argument.
The main functions treated in this chapter are the error function ; the complementary error functions and ; Dawson’s integral ; the Fresnel integrals , , and ; the Goodwin–Staton integral ; the repeated integrals of the complementary error function ; the Voigt functions and .
Alternative notations are , , , , , , , .
The notations , , and are used in mathematical statistics, where these functions are called the normal or Gaussian probability functions.