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variants of this functions
Zeta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s,a] > General characteristics > Branch cuts > With respect to a > For zeta(s,a)





http://functions.wolfram.com/10.02.04.0023.01









  


  










Input Form





Limit[Zeta[s, -n + I x - \[Epsilon]], \[Epsilon] -> Plus[0]] == Zeta[s, -n + I x] + (2 I E^(I Pi (s/2)) Sin[Pi (s/2)])/(-x^2)^(s/2) /; Element[n, Integers] && n >= 0 && x > 0










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29