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BUILT-IN MATHEMATICA SYMBOL
HurwitzZeta
HurwitzZeta[s, a]
gives the Hurwitz zeta function 
.
Details
- 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.
New in 7
