# Incomplete gamma functions

Calculates the Incomplete gamma functions of the first and second kind γ(a,x) and Γ(a,x).

#### Input

$$a=1$$ $$x (x≧0)=2$$

#### Solution

$$Y(A,X) = 0.86466471676339$$ $$Γ(A,X) = 0.13533528323661$$

#### For Example :

$$\normalsize Incomplete\ gamma\ functions$$ $$(1)\ the\ 1st\ kind\\ \hspace{60px}\gamma(a,x)= {\large\int_{\tiny 0}^ {\small x}}t^{a-1}e^{-t}dt$$ $$(2)\ the\ 2nd\ kind\\ \hspace{60px}\Gamma(a,x)={\large\int_{\small x}^ {\tiny \infty}}t^{a-1}e^{-t}dt$$ $$(3)\ \gamma(a,x)+\Gamma(a,x)=\Gamma(a)\\$$

## Incomplete gamma functions

Calculates the Incomplete gamma functions of the first and second kind γ(a,x) and Γ(a,x).

A.