Regularized Upper Incomplete Gamma Function Calculator

Regularized Upper Incomplete Gamma Function Calculator

Compute the regularized upper incomplete gamma function: $$ Q(s,x)=\frac{\Gamma(s,x)}{\Gamma(s)}=1-P(s,x), $$ where $$ P(s,x)=\frac{1}{\Gamma(s)}\int_0^x t^{s-1}e^{-t}\,dt. $$

* Enter a shape parameter \( s>0 \) and an upper limit \( x\ge 0 \).

Step 1: Enter Parameters

e.g., 2

e.g., 3

Formula: \( Q(s,x)=1-P(s,x)=1-\frac{1}{\Gamma(s)}\int_0^x t^{s-1}e^{-t}\,dt \).