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:
“You must realize that I was suffering from love and I knew him as intimately as I knew my own image in a mirror. In other words, I knew him only in relation to myself.”
—Angela Carter (1940–1992)
“Light is meaningful only in relation to darkness, and truth presupposes error. It is these mingled opposites which people our life, which make it pungent, intoxicating. We only exist in terms of this conflict, in the zone where black and white clash.”
—Louis Aragon (1897–1982)