Math.Polynomial.Bernoulli

Documentation

bernoulliPoly :: (Fractional a, Eq a) => [Poly a]

Bernoulli polynomial with a nonstandard normalization

b_i = bernoulliPoly !! i

Has the following generating function (C.2 in IH Sloan & S Joe "Lattice Methods for multiple integration" 1994 page 227)

t exp(x*t) / (exp(t) - 1) = sum_{i=0} b_i t^i

The standard normalization would have = sum_{i=0} B_i t^i / i!