Stan Math Library  2.10.0
reverse mode automatic differentiation
modified_bessel_first_kind.hpp
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1 #ifndef STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
2 #define STAN_MATH_FWD_SCAL_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
3 
4 #include <stan/math/fwd/core.hpp>
5 
7 
8 namespace stan {
9 
10  namespace math {
11 
12  template <typename T>
13  inline
14  fvar<T>
17 
18  T modified_bessel_first_kind_z(modified_bessel_first_kind(v, z.val_));
19  return fvar<T>(modified_bessel_first_kind_z,
20  -v * z.d_ * modified_bessel_first_kind_z / z.val_
21  + z.d_ * modified_bessel_first_kind(v - 1, z.val_));
22  }
23  }
24 }
25 #endif
fvar< T > modified_bessel_first_kind(int v, const fvar< T > &z)

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