gives the Hurwitz zeta function .
- Mathematical function, suitable for both symbolic and numerical manipulation.
- The Hurwitz zeta function is defined as an analytic continuation of .
- HurwitzZeta is identical to Zeta for .
- Unlike Zeta, HurwitzZeta has singularities at for non-negative integers .
- HurwitzZeta has branch cut discontinuities in the complex plane running from to .
- For certain special arguments, HurwitzZeta automatically evaluates to exact values.
- HurwitzZeta can be evaluated to arbitrary numerical precision.
- HurwitzZeta automatically threads over lists.
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