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keisanHigh-precision calculations for everyday life and work

Incomplete Gamma Functions

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Calculates the values of the first-kind incomplete gamma function γ(a,x) and the second-kind incomplete gamma function Γ(a,x).
a
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x≧0
\(\normalsize Incomplete\ gamma\ functions\\ (1)\ the\ 1st\ kind\\ \hspace{60px}\gamma(a,x)= {\large\int_{\tiny 0}^ {\small x}}t^{a-1}e^{-t}dt\\ (2)\ the\ 2nd\ kind\\ \hspace{60px}\Gamma(a,x)={\large\int_{\small x}^ {\tiny \infty}}t^{a-1}e^{-t}dt\\ (3)\ \gamma(a,x)+\Gamma(a,x)=\Gamma(a)\\\)

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