Functions
template<typename T1 , typename T2 >
constexpr common_return_t< T1, T2 >	lbeta (const T1 a, const T2 b) noexcept
	Compile-time log-beta function. More...

Function Documentation

◆ lbeta()

template<typename T1 , typename T2 >

constexpr common_return_t< T1, T2 > lbeta	(	const T1	a,
		const T2	b
	)

constexprnoexcept

Compile-time log-beta function.

Parameters

a	a real-valued input.
b	a real-valued input.

Returns: the log-beta function using
\[ \ln \text{B}(\alpha,\beta) := \ln \int_0^1 t^{\alpha - 1} (1-t)^{\beta - 1} dt = \ln \Gamma(\alpha) + \ln \Gamma(\beta) - \ln \Gamma(\alpha + \beta) \]
where \( \Gamma \) denotes the gamma function.