grad_2F1() [1/2]

template<bool ReturnSameT, typename T1 , typename T2 , typename T3 , typename T_z , require_not_t< std::integral_constant< bool, ReturnSameT > > * = nullptr>

auto stan::math::grad_2F1 ( const T1 &  a1, const T2 &  a2, const T3 &  b1, const T_z &  z, double  precision = 1e-14, int  max_steps = 1e6  )

inline

Calculate the gradients of the hypergeometric function (2F1) as the power series stopping when the series converges to within precision or throwing when the function takes max_steps steps.

Overload for use where the destination gradients are not required to be the same type as the input variables (most use-cases except grad_inc_beta)

Template Parameters

ReturnSameT	Whether return gradients need to be the same type as as inputs
T1	scalar type of a1
T2	scalar type of a2
T3	scalar type of b1
T_z	scalar type of z

Parameters

[in]	a1	see generalized hypergeometric function definition
[in]	a2	see generalized hypergeometric function definition
[in]	b1	see generalized hypergeometric function definition
[in]	z	see generalized hypergeometric function definition
[in]	precision	magnitude of the increment of the infinite sum to truncate the sum
[in]	max_steps	number of steps to take

Overload for use where the destination gradients should be the same type as the input variables (needed for the grad_inc_beta overloads)

Template Parameters

ReturnSameT	Whether return gradients need to be the same type as as inputs
T1	scalar type of a1
T2	scalar type of a2
T3	scalar type of b1
T_z	scalar type of z

Parameters

[in]	a1	see generalized hypergeometric function definition
[in]	a2	see generalized hypergeometric function definition
[in]	b1	see generalized hypergeometric function definition
[in]	z	see generalized hypergeometric function definition
[in]	precision	magnitude of the increment of the infinite sum to truncate the sum
[in]	max_steps	number of steps to take

Definition at line 273 of file grad_2F1.hpp.