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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Integration > Definite integration > For the direct function itself





http://functions.wolfram.com/10.12.21.0005.01









  


  










Input Form





Integrate[RamanujanTauTheta[t], {t, z, z + 1}] == (1/2) (-Log[2 Pi] - 2 z Log[2 Pi] + PolyGamma[-2, 6 - I z] + PolyGamma[-2, 6 + I z] - PolyGamma[-2, (6 + I) + I z] - PolyGamma[-2, (-I) ((1 + 6 I) + z)]) /; !IntervalMemberQ[Interval[{-Infinity, -6}], I z] && !IntervalMemberQ[Interval[{6, Infinity}], I z]










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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