What is error function ?

1. Jun 26, 2003

Saint

In heat transfer, some formulae are expressed in error function. what is it ?

How do we get the equation for error function ?[?]

2. Jun 27, 2003

Isn't the error function e -x 2 ? Thats all I know....

Last edited: Jun 27, 2003
3. Jun 27, 2003

Guybrush Threepwood

try this

4. Jun 27, 2003

KLscilevothma

I've heard it's called imaginary error function in full.

5. Jun 27, 2003

Hurkyl

Staff Emeritus
Almost... erf(x) is:

erf(x) = (2 / sqrt(&pi;)) &int;0..x e-x2 dx

It's immediate use is that it's the integral of a gaussian distribution, so it's directly applicable to statistical problems.

More generally, I understand that a lot of nonelementary functions can be expressed in terms of combinations of elementary functions and error functions, so erf expands the expressive power of closed forms.

6. Jun 27, 2003

plus

It comes up when solving some differential equations, and it is thus good to have tabulated.

7. Jun 27, 2003