# Gamma function (chart) Calculator

## Calculates a table of the Gamma function Γ(a) and draws the chart.

 initial value a [ increment repetition ]
 $\normal Gamma\ function\qquad \Gamma(a)\\[10](1)\ \Gamma(a)= {\large\int_{\tiny 0}^ {\qquad\qquad\quad\tiny \infty}}t^{a-1}e^{-t}dt,\qquad Re(a)\gt 0\\(2)\ \Gamma(a)={\large\frac{\Gamma(a+1)}{a}},\qquad \Gamma(a)\Gamma(1-a)={\large\frac{\pi}{sin(\pi a)}}\\(3)\ \Gamma(n+1)=n!,\qquad \Gamma({\large\frac{1}{2}})={\large\sqrt{\pi}}\\$

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