Safe Haskell | None |
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- bernoulliPoly :: (Fractional a, Eq a) => [Poly a]
Documentation
bernoulliPoly :: (Fractional a, Eq a) => [Poly a]Source
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!