incomplete_beta Function

public pure elemental function incomplete_beta(a, b, x) result(rst)

Computes the incomplete beta function.

The incomplete beta function is defind as: $$\beta(x;a,b) = \int_{0}^{x} t^{a-1} (1 - t)^{b-1} dt$$ .

See Also

• Wikipedia

Arguments

Type	Intent	Optional	Attributes		Name
real(kind=real64),	intent(in)			::	a	The first argument of the function.
real(kind=real64),	intent(in)			::	b	The second argument of the function.
real(kind=real64),	intent(in)			::	x	The upper limit of the integration.

Return Value real(kind=real64)

The value of the incomplete beta function.

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