Fifth, the probability integral (error function)

[Probability integral definition and series expression]

  Probability Integral (or error function)


  I probability integral (or error function)


  Normal probability integral



Called Kummer function)

[Probability integral asymptotic expression]


If the series before and term it as an approximation, the error


When time is a real number, the error does not exceed the absolute value of the first item in the series omitted.

When when .