Differences and Derivatives
The Bernoulli and Euler polynomials obey many relations from umbral calculus:
(Δ is the forward difference operator).
These polynomial sequences are Appell sequences:
Read more about this topic: Bernoulli Polynomials
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“I trust the time is nigh when, with the universal assent of civilized people, all international differences shall be determined without resort to arms by the benignant processes of civilization.”
—Chester A. Arthur (1829–1886)