Formula:DLMF:25.12:E13

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Constraint(s)

, or ,


Proof

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Symbols List

 : polylogarithm : http://dlmf.nist.gov/25.12#E10
 : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
 : ratio of a circle's circumference to its diameter : http://dlmf.nist.gov/5.19.E4
 : imaginary unit : http://dlmf.nist.gov/1.9.i
 : Euler's gamma function : http://dlmf.nist.gov/5.2#E1
 : Hurwitz zeta function : http://dlmf.nist.gov/25.11#E1
 : real part : http://dlmf.nist.gov/1.9#E2
 : imaginary part : http://dlmf.nist.gov/1.9#E2

Bibliography

Equation (13), Section 25.12 of DLMF.

URL links

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