hermite()

#include <cmath>

 double hermite(unsigned n, double x)  // C++17

Liefert Wert für das Hermitesche Polynom n-ten Grades $H_n(x) = (-1)^n e^{x^2} \frac{d^n}{dx^n} e^{-x^2}$.

Rückgabewert: $H_n(x)$

laguerre(), legendre(), assoc_laguerre(), assoc_legendre().

hermite.cpp

#include <cmath>
#include <iostream>
 
int main()
{
  std::cout << "# x n=0 n=1 n=2 n=3 n=4 n=5 n=6\n";
 
  for (int i = -200; i <= 200; ++i)
  {
    double x = 0.01*i;
    std::cout << x 
      << '\t' << std::hermite(0, x) 
      << '\t' << std::hermite(1, x) 
      << '\t' << std::hermite(2, x) 
      << '\t' << std::hermite(3, x) 
      << '\t' << std::hermite(4, x) 
      << '\t' << std::hermite(5, x) 
      << '\n';
  }
}