Formula:DLMF:25.11:E24

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Constraint(s)

&


Note(s)

primes on denote derivatives with respect to


Proof

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Use


with ,

multiply by and differentiate.


Symbols List

& : logical and
 : sum : http://drmf.wmflabs.org/wiki/Definition:sum
 : Hurwitz zeta function : http://dlmf.nist.gov/25.11#E1
 : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
 : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2

Bibliography

Equation (24), Section 25.11 of DLMF.

URL links

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