Formula:DLMF:25.11:E21

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Constraint(s)

are integers with &


Note(s)

primes on denote derivatives with respect to


Proof

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Symbols List

& : logical and
 : Hurwitz zeta function : http://dlmf.nist.gov/25.11#E1
 : psi (or digamma) function : http://dlmf.nist.gov/5.2#E2
 : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2
 : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4
 : Bernoulli polynomial : http://dlmf.nist.gov/24.2#i
 : negative unity to an integer power : http://dlmf.nist.gov/5.7.E7
 : sum : http://drmf.wmflabs.org/wiki/Definition:sum
 : sine function : http://dlmf.nist.gov/4.14#E1
 : cosine function : http://dlmf.nist.gov/4.14#E2
 : Riemann zeta function : http://dlmf.nist.gov/25.2#E1

Bibliography

Equation (21), Section 25.11 of DLMF.

URL links

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