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:

    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)

    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)