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:

    Much poetry seems to be aware of its situation in time and of its relation to the metronome, the clock, and the calendar. ... The season or month is there to be felt; the day is there to be seized. Poems beginning “When” are much more numerous than those beginning “Where” of “If.” As the meter is running, the recurrent message tapped out by the passing of measured time is mortality.
    William Harmon (b. 1938)

    Our sympathy is cold to the relation of distant misery.
    Edward Gibbon (1737–1794)