hypergeometric_2F1.hpp File Reference

#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/abs.hpp>
#include <stan/math/prim/fun/asin.hpp>
#include <stan/math/prim/fun/asinh.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/floor.hpp>
#include <stan/math/prim/fun/inv.hpp>
#include <stan/math/prim/fun/log.hpp>
#include <stan/math/prim/fun/log1p.hpp>
#include <stan/math/prim/fun/lgamma.hpp>
#include <stan/math/prim/fun/pow.hpp>
#include <stan/math/prim/fun/sqrt.hpp>
#include <stan/math/prim/fun/square.hpp>
#include <stan/math/prim/fun/hypergeometric_pFq.hpp>
#include <boost/optional.hpp>

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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 Ta1 , typename Ta2 , typename Tb , typename Tz , typename RtnT = boost::optional<return_type_t<Ta1, Ta2, Tb, Tz>>, require_all_arithmetic_t< Ta1, Ta2, Tb, Tz > * = nullptr>
RtnT	stan::math::internal::hyper_2F1_special_cases (const Ta1 &a1, const Ta2 &a2, const Tb &b, const Tz &z)
	Calculate the Gauss Hypergeometric (2F1) function for special-case combinations of parameters which can be calculated in closed-form.
template<typename Ta1 , typename Ta2 , typename Tb , typename Tz , typename ScalarT = return_type_t<Ta1, Ta2, Tb, Tz>, typename OptT = boost::optional<ScalarT>, require_all_arithmetic_t< Ta1, Ta2, Tb, Tz > * = nullptr>
return_type_t< Ta1, Ta2, Tb, Tz >	stan::math::hypergeometric_2F1 (const Ta1 &a1, const Ta2 &a2, const Tb &b, const Tz &z)
	Returns the Gauss hypergeometric function applied to the input arguments: \(_2F_1(a_1,a_2;b;z)\).