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modified_bessel_first_kind.hpp
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#ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
#define STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
#include <stan/math/fwd/core.hpp>
#include <stan/math/prim/scal/fun/modified_bessel_first_kind.hpp>
namespace stan {
namespace math {
template <typename T>
inline
fvar<T>
modified_bessel_first_kind(int v, const fvar<T>& z) {
using stan::math::modified_bessel_first_kind;
T modified_bessel_first_kind_z(modified_bessel_first_kind(v, z.val_));
return fvar<T>(modified_bessel_first_kind_z,
-v * z.d_ * modified_bessel_first_kind_z / z.val_
+ z.d_ * modified_bessel_first_kind(v - 1, z.val_));
}
}
}
#endif
core.hpp
stan::math::fvar::d_
T d_
Definition: fvar.hpp:15
modified_bessel_first_kind.hpp
stan::math::modified_bessel_first_kind
fvar< T > modified_bessel_first_kind(int v, const fvar< T > &z)
Definition: modified_bessel_first_kind.hpp:15
stan::math::fvar::val_
T val_
Definition: fvar.hpp:14
stan::math::fvar
Definition: fvar.hpp:13

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