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modified_bessel_second_kind.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_SECOND_KIND_HPP
3
4 #include <stan/math/fwd/core.hpp>
5 #include <stan/math/prim/scal/fun/modified_bessel_second_kind.hpp>
6
7 namespace stan {
8 namespace math {
9
10 template <typename T>
11 inline
12 fvar<T>
13 modified_bessel_second_kind(int v, const fvar<T>& z) {
14 T modified_bessel_second_kind_z(modified_bessel_second_kind(v, z.val_));
15 return fvar<T>(modified_bessel_second_kind_z,
16 -v * z.d_ * modified_bessel_second_kind_z / z.val_
17 - z.d_ * modified_bessel_second_kind(v - 1, z.val_));
18 }
19 }
20 }
21 #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:13
core.hpp
stan::math::fvar::d_
T d_
Definition: fvar.hpp:14
stan
Definition: log_sum_exp.hpp:8
modified_bessel_second_kind.hpp
stan::math::fvar::val_
T val_
Definition: fvar.hpp:13
stan::math::fvar
Definition: fvar.hpp:12

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