Manuscript I-B-VP-0@1 · I-B-VP-0-v1.tex · section · 8a9d0682

Exact evaluation

Exact evaluation · lines 672–682

I-B-VP-0@1#eq:B3

Define the third Bernoulli polynomial

B_{3} (β) = β^{3} - \frac{3}{2} β^{2} + \frac{1}{2} β = \frac{1}{2} β (1 - β) (1 - 2 β) .

Displayed formulas in this passage

I-B-VP-0@1#eq:B3 · line 676
$B_{3} (β) = β^{3} - \frac{3}{2} β^{2} + \frac{1}{2} β = \frac{1}{2} β (1 - β) (1 - 2 β) .$