# Incomplete Gamma Function

The lower incomplete gamma function, $$\gamma$$, is defined by the integral
$\gamma(s, x) = \int_0^x t^{s-1} e^{-t} \mathrm{d}t$
Similarly, the upper incomplete gamma function, $$\Gamma$$, is defined by the integral
$\gamma(s, x) = \int_x^\infty t^{s-1} e^{-t} \mathrm{d}t$
These are related to the gamma function by
$\gamma(s, x) + \Gamma(s, x) = \Gamma(s)$

### Gallimaufry

 AKCalc ECMA Endarkenment Turning Sixteen

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