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Function std.mathspecial.gamma

The Gamma function, Γ(x)

real gamma (
  real x
) pure nothrow @nogc @safe;

Γ(x) is a generalisation of the factorial function to real and complex numbers. Like x!, Γ(x+1) = x * Γ(x).

Mathematically, if z.re > 0 then Γ(z) = 0 tz-1e-t dt

Special Values
x Γ(x)
NAN NAN
±0.0 ±∞
integer > 0 (x-1)!
integer < 0 NAN
+∞ +∞
-∞ NAN

Authors

Stephen L. Moshier (original C code). Conversion to D by Don Clugston

License

Boost License 1.0.