1.Previous
3.Next

physicist's Hermite polynomials can be written explicitly as

These two equations may be combined into one using the floor function:

The probabilist's Hermite polynomials have similar formulas, which may be obtained from these by replacing the power of with the corresponding power of and multiplying the entire sum by :

Inverse explicit expression

The inverse of the above explicit expressions, that is, those for monomials in terms of probabilist's Hermite polynomials are

1.Previous
3.Next