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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/10.12.07.0003.01









  


  










Input Form





RamanujanTauTheta[z] == (-(I/2)) Integrate[((E^((-t) (6 + I z)) - E^(I t (6 I + z)))/t) (1/2 + 1/(E^t - 1) - 1/t), {t, 0, Infinity}] + (1/4) (-4 z (1 + Log[2 Pi]) + (11 I + 2 z) Log[6 - I z] + (-11 I + 2 z) Log[6 + I z]) /; Abs[Im[z]] < 6










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