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 whole point of Camp is to dethrone the serious. Camp is playful, anti-serious. More precisely, Camp involves a new, more complex relation to “the serious.” One can be serious about the frivolous, frivolous about the serious.
    Susan Sontag (b. 1933)

    We must get back into relation, vivid and nourishing relation to the cosmos and the universe. The way is through daily ritual, and is an affair of the individual and the household, a ritual of dawn and noon and sunset, the ritual of the kindling fire and pouring water, the ritual of the first breath, and the last.
    —D.H. (David Herbert)