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reverse mode automatic differentiation
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fun
modified_bessel_second_kind.hpp
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#ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP
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#define STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP
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#include <
stan/math/fwd/core.hpp
>
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#include <
stan/math/prim/scal/fun/modified_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
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fvar<T>
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modified_bessel_second_kind
(
int
v,
const
fvar<T>
& z) {
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using
stan::math::modified_bessel_second_kind
;
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T modified_bessel_second_kind_z(
modified_bessel_second_kind
(v, z.
val_
));
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return
fvar<T>
(modified_bessel_second_kind_z,
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-v * z.
d_
* modified_bessel_second_kind_z / z.
val_
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- z.
d_
*
modified_bessel_second_kind
(v - 1, z.
val_
));
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}
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}
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}
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#endif
stan::math::modified_bessel_second_kind
fvar< T > modified_bessel_second_kind(int v, const fvar< T > &z)
Definition:
modified_bessel_second_kind.hpp:15
core.hpp
stan::math::fvar::d_
T d_
Definition:
fvar.hpp:15
stan
Definition:
log_sum_exp.hpp:8
modified_bessel_second_kind.hpp
stan::math::fvar::val_
T val_
Definition:
fvar.hpp:14
stan::math::fvar
Definition:
fvar.hpp:13
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