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RamanujanTauTheta






Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Specific values > Specialized values





http://functions.wolfram.com/10.12.03.0025.01









  


  










Input Form





RamanujanTauTheta[I (-5 - p/q - n)] == (I/(2 q)) ((-I) n Pi q + 2 (p + (5 + n) q) Log[2 Pi] + (11 + 2 n) q Log[q] + q LogGamma[1 - p/q] - q LogGamma[p/q] - q Sum[Log[q k + p - q], {k, 1, n}] - q Sum[Log[q k - q + p], {k, 1, 11 + n}]) /; Element[n, Integers] && n >= 0 && Element[p, Integers] && p > 0 && Element[q, Integers] && q > 0 && p < q










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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