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
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