hypergeometric_2F1() [1/2]

template<typename Ta1 , typename Ta2 , typename Tb , typename Tz , require_all_stan_scalar_t< Ta1, Ta2, Tb, Tz > * = nullptr, require_any_fvar_t< Ta1, Ta2, Tb, Tz > * = nullptr>

return_type_t< Ta1, Ta1, Tb, Tz > stan::math::hypergeometric_2F1 ( const Ta1 &  a1, const Ta2 &  a2, const Tb &  b, const Tz &  z  )

inline

Returns the Gauss hypergeometric function applied to the input arguments: \(_2F_1(a_1,a_2;b;z)\).

See 'grad_2F1.hpp' for the derivatives wrt each parameter

Template Parameters

Ta1	Type of scalar first 'a' argument
Ta2	Type of scalar second 'a' argument
Tb	Type of scalar 'b' argument
Tz	Type of scalar 'z' argument

Parameters

[in]	a1	First of 'a' arguments to function
[in]	a2	Second of 'a' arguments to function
[in]	b	'b' argument to function
[in]	z	Scalar z argument

Returns

Gauss hypergeometric function

See 'grad_2F1.hpp' for the derivatives wrt each parameter

Template Parameters

Ta1	Type of scalar first 'a' argument
Ta2	Type of scalar second 'a' argument
Tb	Type of scalar 'b' argument
Tz	Type of scalar 'z' argument

Parameters

[in]	a1	First of 'a' arguments to function
[in]	a2	Second of 'a' arguments to function
[in]	b	'b' argument to function
[in]	z	Scalar z argument

Returns

Gauss hypergeometric function

Definition at line 33 of file hypergeometric_2F1.hpp.