In mathematics, the Hurwitz zeta function, named after Adolf Hurwitz, is one of the many zeta functions. It is formally defined for complex arguments s with Re(s) > 1 and q with Re(q) > 0 by
This series is absolutely convergent for the given values of s and q and can be extended to a meromorphic function defined for all s≠1. The Riemann zeta function is ζ(s,1).
Read more about Hurwitz Zeta Function: Analytic Continuation, Series Representation, Integral Representation, Hurwitz's Formula, Functional Equation, Taylor Series, Laurent Series, Fourier Transform, Relation To Bernoulli Polynomials, Relation To Jacobi Theta Function, Relation To Dirichlet L-functions, Zeros, Rational Values, Applications, Special Cases and Generalizations
Famous quotes containing the word function:
“Every boy was supposed to come into the world equipped with a father whose prime function was to be our father and show us how to be men. He can escape us, but we can never escape him. Present or absent, dead or alive, real or imagined, our father is the main man in our masculinity.”
—Frank Pittman (20th century)