# Manuals/calci/ERF

ERF(a,b,accuracy)

• is the lower limit and is the upper limit.
• gives accurate value of the solution
• ERF(), returns the Error Function.

## Description

• This function gives the value of the error function .
• Error function is the special function which is encountered in integrating the normal distribution.
• In  ,  is the lower limit of the integrating function and   is the upper limit of the integrating function.
• Also   is optional. When we are omitting the   value, then the integral of the error function between 0 and the given   value is returned otherwise it will consider the given   and   values.
• This function is also called Gauss error function.
•  is defined by:
•  .
• In this case   is the lower limit and   is the upper limit.
• This function will return the result as error when
1.any one of the argument is non-numeric.
2.  or   is negative.


## ZOS

• The syntax is to calculate error function in ZOS is  .
•   is the lower limit and   is the upper limit.
•   gives accurate value of the solution.
• For e.g.,ERF(2,3),ERF(2,3,0.001)

## Examples

1. ERF(1,2)=0.15262147206923793
2. ERF(3,2)=0.004655644484048649
3. ERF(0,1)=0.8427007929497148
4. ERF(5)=0.9999999999984626
5. ERF(-3)=-0.9999779095030014

Error Function