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RamanujanTauTheta




Mathematica Notation

Traditional Notation









Zeta Functions and Polylogarithms > RamanujanTauTheta[z] > Series representations > Generalized power series > Expansions at z==z0/;z0!=+-6i+-i n





http://functions.wolfram.com/10.12.06.0023.01









  


  








Input Form





RamanujanTauTheta[z] == RamanujanTauTheta[Subscript[z, 0]] - Log[2 Pi] (z - Subscript[z, 0]) - (I/2) Sum[((I^k (PolyGamma[k - 1, 6 + I Subscript[z, 0]] - (-1)^k PolyGamma[k - 1, 6 - I Subscript[z, 0]]))/k!) (z - Subscript[z, 0])^k, {k, 1, Infinity}] /; (z -> Subscript[z, 0]) && Subscript[z, 0]^2 != -(6 + k)^2 && Element[k, Integers]








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