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variants of this functions
Zeta




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s] > Differentiation > Low-order differentiation > Derivatives at other points





http://functions.wolfram.com/10.01.20.0021.01









  


  








Input Form





Derivative[1][Zeta][-9] == 7129/332640 + (3 Log[Glaisher])/10 + (3/40) Log[2 Pi] - 362880 PolyGamma[-11, 1] + 181440 PolyGamma[-10, 1] - 30240 PolyGamma[-9, 1] + 504 PolyGamma[-7, 1] - 12 PolyGamma[-5, 1]








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)





2007-05-02