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Function `std.mathspecial.gammaIncomplete`

Incomplete gamma integral and its complement


						
				real gammaIncomplete
				(
				

				  real a,
				

				  real x
				

				) pure nothrow @nogc @safe;

These functions are defined by

gammaIncomplete = ( ∫₀^x e^-t t^a-1 dt )/ Γ(a)

gammaIncompleteCompl(a,x) = 1 - gammaIncomplete(a,x) = (∫_x^∞ e^-t t^a-1 dt )/ Γ(a)

In this implementation both arguments must be positive. The integral is evaluated by either a power series or continued fraction expansion, depending on the relative values of a and x.

Authors

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

License

Boost License 1.0.

API Documentation

Function std.mathspecial.gammaIncomplete

Authors

License

Function `std.mathspecial.gammaIncomplete`