tricomi

kyosu::tricomi = eve::functor<tricomi_t>

inlineconstexpr

Computes the tricomi function $U$ also called confluent hypergeometric function of the second kind.

Defined in Header

#include <kyosu/functions.hpp>

Callable Signatures

namespace kyosu
{
  constexpr auto tricomi(auto z, auto a, auto b) noexcept;
}

Parameters

• a, b, z: real or complex inputs.

Return value

Returns the value at z of the confluent hypergeometric function of the second kind with a and b parameters and non integral b

External references

• DLMF: Kummer Functions
• Wolfram MathWorld:Confluent Hypergeometric Function of the Second Kind
• Wikipedia: Confluent hypergeometric function

  Example

#include <kyosu/kyosu.hpp>
#include <eve/wide.hpp>
#include <iostream>
 
int main()
{
 auto I = kyosu::complex(0.0, 1.0);
  std::cout << "tricomi(2.0, 1, 1.5)         "<< kyosu::tricomi(2.0, 1, 1.5)        << std::endl;
  std::cout << "tricomi(2.0, 1, I)           "<< kyosu::tricomi(2.0, 1, I)          << std::endl;
  return 0;
}