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

Function Documentation

◆ beta()

template<typename T1 , typename T2 >

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

constexprnoexcept

Compile-time beta function.

Parameters

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

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