regularized_beta Function

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

Computes the regularized beta function.

The regularized beta function is defined as the ratio between the incomplete beta function and the beta function. $$I_{x}(a,b) = \frac{\beta(x;a,b)}{\beta(a,b)}$$ .

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 regularized beta function.

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