Hurwitz Zeta Function - Relation To Bernoulli Polynomials

Relation To Bernoulli Polynomials

The function defined above generalizes the Bernoulli polynomials:

where denotes the real part of z. Alternately,

In particular, the relation holds for and one has

Read more about this topic:  Hurwitz Zeta Function

Famous quotes containing the words relation to and/or relation:

    The proper study of mankind is man in his relation to his deity.
    —D.H. (David Herbert)

    Among the most valuable but least appreciated experiences parenthood can provide are the opportunities it offers for exploring, reliving, and resolving one’s own childhood problems in the context of one’s relation to one’s child.
    Bruno Bettelheim (20th century)