Stan Math Library  2.8.0
reverse mode automatic differentiation
 All Classes Namespaces Files Functions Variables Typedefs Enumerator Friends Macros Groups
bessel_second_kind.hpp
Go to the documentation of this file.
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>
5 
7 
8 namespace stan {
9 
10  namespace math {
11 
12  template <typename T>
13  inline
14  fvar<T>
15  bessel_second_kind(int v, const fvar<T>& z) {
17 
18  T bessel_second_kind_z(bessel_second_kind(v, z.val_));
19  return fvar<T>(bessel_second_kind_z,
20  v * z.d_ * bessel_second_kind_z / z.val_
21  - z.d_ * bessel_second_kind(v + 1, z.val_));
22  }
23  }
24 }
25 #endif
fvar< T > bessel_second_kind(int v, const fvar< T > &z)

     [ Stan Home Page ] © 2011–2015, Stan Development Team.