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variants of this functions
Zeta




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > Zeta[s,a] > Series representations > Generalized power series > Expansions at a==-n > For zeta^(s,a)





http://functions.wolfram.com/10.02.06.0043.01









  


  








Input Form





ZetaClassical[s, a] \[Proportional] 1/(a + n)^s + Sum[1/(k - n + (a + n))^s, {k, 0, n - 1}] + Zeta[s] - s Zeta[1 + s] (a + n) + ((s (s + 1))/2) Zeta[2 + s] (a + n)^2 + O[(a + n)^3] /; (a -> -n) && Element[n, Integers] && n >= 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)





2007-05-02