Name: Anonymous 2011-07-26 19:30
(In advance, sorry for not using Jsmath but I only can write in LaTeX. Fans will be very enjoyed)
So I know that $ \int e^{-x^2} \; \mathrm{d}x $, also called the Gauss function (used in probability and distribution by the way) is currently unsolvable.
But I was wondering if the fonction $ e^{-x^2} $ can be developed. If yes, in which way ?
For those who may be interested, I have a quite neat method to calculate $ \int^{\infty}_{- \infty} e^{-y^2} \; \mathrm{d}y $.
So I know that $ \int e^{-x^2} \; \mathrm{d}x $, also called the Gauss function (used in probability and distribution by the way) is currently unsolvable.
But I was wondering if the fonction $ e^{-x^2} $ can be developed. If yes, in which way ?
For those who may be interested, I have a quite neat method to calculate $ \int^{\infty}_{- \infty} e^{-y^2} \; \mathrm{d}y $.