Below is a table in which are listed the 17 distributions whose CDF and inverse-CDF (also known as the quantile function) are computed by SciStatCalc. The table is embedded as a PDF file - feel free to download it. The table could come in handy as a quick reference guide for some attributes of the most popular distributions. The expression of the CDF occurs in the right most column.
Examining the table above, $I_x(a,b)$ denotes the normalised incomplete Beta function:-
The lower incomplete Gamma function $\gamma(a,x)$ is evaluated as:-
The Gamma function $\Gamma(a)$ is:-
The error function $erf(x)$ is:-