Formula:DLMF:25.11:E13

<< Formula:DLMF:25.11:E12

formula in Hurwitz Zeta Function

Formula:DLMF:25.11:E14 >>

${\displaystyle{\displaystyle{\displaystyle\HurwitzZeta@{0}{a}=\tfrac{1}{2}-a}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle\Re{a}>0}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\zeta}}}$ : Hurwitz zeta function : http://dlmf.nist.gov/25.11#E1
${\displaystyle{\displaystyle{\displaystyle\Re{z}}}}$ : real part : http://dlmf.nist.gov/1.9#E2

Bibliography

Equation (13), Section 25.11 of DLMF.

URL links

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<< Formula:DLMF:25.11:E12

formula in Hurwitz Zeta Function

Formula:DLMF:25.11:E14 >>