legendre()

#include <cmath>

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

Liefert Wert für das Legendre-Polynom n-ten Grades $P_n(x) = \frac{1}{2^n n!}\frac{d^n}{dx^n} (x^2-1)^n$ für $|x| \leq 1$.

Rückgabewert: $P_n(x)$

hermite(), laguerre(), assoc_laguerre(), assoc_legendre().

legendre.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 = -100; i <= 100; ++i)
  {
    double x = 0.01*i;
    std::cout << x 
      << '\t' << std::legendre(0, x) 
      << '\t' << std::legendre(1, x) 
      << '\t' << std::legendre(2, x) 
      << '\t' << std::legendre(3, x) 
      << '\t' << std::legendre(4, x) 
      << '\t' << std::legendre(5, x) 
      << '\n';
  }
}