cyl_bessel_k

kyosu::cyl_bessel_k = {}

inlineconstexpr

Computes the Modified Bessel functions of the second kind.

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
   template<eve::floating_ordered_value, kyosu::concepts::cayley_dickson T>
   constexpr auto cyl_bessel_k(N nu, T z) noexcept;
 
   template<eve::floating_ordered_value, eve::floating_ordered_value T>
   constexpr T    cyl_bessel_k(N n, T z) noexcept;
}

Parameters

• nu: order of the function.
• z: Value to process.

Return value

• returns \(K_\nu(z)\).

Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
  std::cout.precision(16);
  using w_t = eve::wide<double, eve::fixed<2>>;
  auto z = kyosu::complex(w_t(20.0, 1.5), w_t(0.0, 1.5));
  auto v = 3.3;
  std::cout << "z                    " << z << std::endl;
  std::vector<decltype(z)> ks(4);
  kyosu::cyl_bessel_k(v, z, ks);
  for(int n=0; n <= 3; ++n)
  {
    std::cout << "ks[" << n << "] = " << ks[n] << std::endl;
  }
  return 0;
}