modified_bessel_first_kind.hpp

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#ifndef STAN_MATH_FWD_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
#define STAN_MATH_FWD_FUN_MODIFIED_BESSEL_FIRST_KIND_HPP
 
#include <stan/math/fwd/meta.hpp>
#include <stan/math/fwd/core.hpp>
#include <stan/math/prim/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) {
  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_));
}
}  // namespace math
}  // namespace stan
#endif