Hi guys... don't suppose anybody knows how to calculate the error function - erf(x) I know Matlab can calculate it - but is it possible to evaluate it without computational techniques (i.e. using computers)? [tex] {erf}(x) = \frac{2}{\sqrt{\pi}}\int_0^x e^{-t^2} dt.[/tex] Would appreciate any feedback. thanks. The link below will direct you to a website where the equation can be viewed... http://images.planetmath.org:8080/cache/objects/6429/l2h/img2.png
If you mean "Is there an elementary anti-derivative" that can be evaluated directly, the answer is no. The only way to evaluate erf(x) is to do a numerical integration.
actually, with a computer program to calculate the terms and summation, that is what they do. one thing is that there is a nice closed form expression for the erf(x) for large x. see http://mathworld.wolfram.com/Erf.html for some detail.