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variants of this functions
Zeta




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s,a] > Series representations > Asymptotic series expansions > For zeta(+-n,a) by a





http://functions.wolfram.com/10.02.06.0049.01









  


  








Input Form





Zeta[n, a] \[Proportional] ((-1)^n/(n - 1)!) PolyGamma[n - 1, a] UnitStep[n - 1] - (UnitStep[-n]/(1 - n)) BernoulliB[1 - n, a] + Sum[((k + a)^2)^(-n/2) - (k + a)^(-n), {k, 0, Floor[-Re[a]]}] /; (Abs[a] -> Infinity) && Element[n, Integers] && n != 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