 they satisfy the identity

for "n" = 0, 1, 2, ... and "P"0("x") is a nonzero constant.For example, it can be shown that if "X" is uniformly distributed on the interval [0, 1], then

where "B""n" is the "n"th-degree Bernoulli polynomial.Similarly, if "X" is normally distributed with variance 1, then

where "H""n" is the "n"th Hermite polynomial.