Stan Math Library
2.20.0
reverse mode automatic differentiation
stan
math
fwd
scal
fun
bessel_second_kind.hpp
Go to the documentation of this file.
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#ifndef STAN_MATH_FWD_SCAL_FUN_BESSEL_SECOND_KIND_HPP
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#define STAN_MATH_FWD_SCAL_FUN_BESSEL_SECOND_KIND_HPP
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#include <
stan/math/fwd/meta.hpp
>
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#include <
stan/math/fwd/core.hpp
>
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#include <
stan/math/prim/scal/fun/bessel_second_kind.hpp
>
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namespace
stan
{
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namespace
math {
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template
<
typename
T>
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inline
fvar<T>
bessel_second_kind
(
int
v,
const
fvar<T>
& z) {
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T bessel_second_kind_z(
bessel_second_kind
(v, z.
val_
));
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return
fvar<T>
(bessel_second_kind_z,
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v * z.
d_
* bessel_second_kind_z / z.
val_
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- z.
d_
*
bessel_second_kind
(v + 1, z.
val_
));
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}
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}
// namespace math
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}
// namespace stan
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#endif
core.hpp
stan::math::fvar::d_
T d_
The tangent (derivative) of this variable.
Definition:
fvar.hpp:50
stan
Definition:
log_sum_exp.hpp:8
stan::math::bessel_second_kind
fvar< T > bessel_second_kind(int v, const fvar< T > &z)
Definition:
bessel_second_kind.hpp:12
stan::math::fvar::val_
T val_
The value of this variable.
Definition:
fvar.hpp:45
meta.hpp
bessel_second_kind.hpp
stan::math::fvar
This template class represents scalars used in forward-mode automatic differentiation, which consist of values and directional derivatives of the specified template type.
Definition:
fvar.hpp:41
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