log_gamma_q_dgamma.hpp File Reference

#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/constants.hpp>
#include <stan/math/prim/fun/digamma.hpp>
#include <stan/math/prim/fun/exp.hpp>
#include <stan/math/prim/fun/fabs.hpp>
#include <stan/math/prim/fun/gamma_p.hpp>
#include <stan/math/prim/fun/gamma_q.hpp>
#include <stan/math/prim/fun/grad_reg_inc_gamma.hpp>
#include <stan/math/prim/fun/inv.hpp>
#include <stan/math/prim/fun/lgamma.hpp>
#include <stan/math/prim/fun/log.hpp>
#include <stan/math/prim/fun/log1m.hpp>
#include <stan/math/prim/fun/tgamma.hpp>
#include <stan/math/prim/fun/value_of.hpp>
#include <stan/math/prim/fun/value_of_rec.hpp>
#include <cmath>

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Namespaces
namespace	stan
	The lgamma implementation in stan-math is based on either the reentrant safe lgamma_r implementation from C or the boost::math::lgamma implementation.
namespace	stan::math
	Matrices and templated mathematical functions.
namespace	stan::math::internal
	A comparator that works for any container type that has the brackets operator.

Functions
template<typename T_a , typename T_z >
return_type_t< T_a, T_z >	stan::math::internal::log_q_gamma_cf (const T_a &a, const T_z &z, double precision=LOG_Q_GAMMA_CF_PRECISION, int max_steps=250)
	Compute log(Q(a,z)) using continued fraction expansion for upper incomplete gamma function.
template<typename T_a , typename T_z >
std::pair< return_type_t< T_a, T_z >, return_type_t< T_a, T_z > >	stan::math::log_gamma_q_dgamma (const T_a &a, const T_z &z, double precision=internal::LOG_Q_GAMMA_CF_PRECISION, int max_steps=250)
	Compute log(Q(a,z)) and its gradient with respect to a using continued fraction expansion, where Q(a,z) = Gamma(a,z) / Gamma(a) is the regularized upper incomplete gamma function.

Variables
constexpr double	stan::math::internal::LOG_Q_GAMMA_CF_PRECISION = 1.49012e-12