11.4.2  Hermite polynomial

The Hermite polynomials H(n,x) satisfy the recurrence relation:

These polynomials are orthogonal for the scalar product:

The hermite command finds the Hermite polynomials.

• hermite takes one mandatory argument and one optional argument:
  • n, an integer.
  • Optionally, x, a variable name (by default x).
• hermite(n  ⟨,x⟩) returns the Hermite polynomial of degree n.

Examples