Stan Math Library  2.15.0
reverse mode automatic differentiation
bessel_second_kind.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_BESSEL_SECOND_KIND_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_BESSEL_SECOND_KIND_HPP
3 
4 #include <stan/math/fwd/core.hpp>
6 
7 namespace stan {
8  namespace math {
9 
10  template <typename T>
11  inline
12  fvar<T>
13  bessel_second_kind(int v, const fvar<T>& z) {
14  T bessel_second_kind_z(bessel_second_kind(v, z.val_));
15  return fvar<T>(bessel_second_kind_z,
16  v * z.d_ * bessel_second_kind_z / z.val_
17  - z.d_ * bessel_second_kind(v + 1, z.val_));
18  }
19  }
20 }
21 #endif
fvar< T > bessel_second_kind(int v, const fvar< T > &z)

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