HermiteP INDEX

HERMITEP _ _ _ _ _ _ _ _ _ _ _ _ operator

The HermiteP operator returns the nth Hermite Polynomial.

syntax:

HermiteP(<integer>,<expression>)

examples:


HermiteP(3,xx); 

            2
  4*xx*(2*xx   - 3) 


HermiteP(3,4); 

  464

Hermite polynomials are computed using the recurrence relation:

HermiteP(n,x) := 2x*HermiteP(n-1,x) - 2*(n-1)*HermiteP(n-2,x) with

HermiteP(0,x) := 1 and HermiteP(1,x) := 2x