Bernoulli Polynomials - Differences and Derivatives

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

Famous quotes containing the word differences:

    The extent to which a parent is able to see a child’s world through that child’s eyes depends very much on the parent’s ability to appreciate the differences between herself and her child and to respect those differences. Your own children need you to accept them for who they are, not who you would like them to be.
    Lawrence Balter (20th century)