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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving power function





http://functions.wolfram.com/10.12.21.0003.01









  


  










Input Form





Integrate[z^n RamanujanTauTheta[z], z] == -((Log[2 Pi] z^(2 + n))/(2 + n)) - ((n! z^n)/2) Sum[(PolyGamma[-2 - k, 6 - I z] + (-1)^k PolyGamma[-2 - k, 6 + I z])/((I z)^k (n - k)!), {k, 0, 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





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