lmgamma.hpp File Reference

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Namespaces
namespace	internal

Functions
template<typename T1 , typename T2 >
constexpr T1	internal::lmgamma_recur (const T1 a, const T2 p) noexcept
template<typename T1 , typename T2 >
constexpr return_t< T1 >	lmgamma (const T1 a, const T2 p) noexcept
	Compile-time log multivariate gamma function. More...

Function Documentation

lmgamma()

template<typename T1 , typename T2 >

constexpr return_t< T1 > lmgamma ( const T1  a, const T2  p  )

constexprnoexcept

Compile-time log multivariate gamma function.

Parameters

a	a real-valued input.
p	integral-valued input.

Returns

computes log-multivariate gamma function via recursion

\[ \Gamma_p(a) = \pi^{(p-1)/2} \Gamma(a) \Gamma_{p-1}(a-0.5) \]

where \( \Gamma_1(a) = \Gamma(a) \).