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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/10.12.06.0022.01









  


  










Input Form





RamanujanTauTheta[z] \[Proportional] RamanujanTauTheta[Subscript[z, 0]] - (1/2) (2 Log[2 Pi] - PolyGamma[6 - I Subscript[z, 0]] - PolyGamma[6 + I Subscript[z, 0]]) (z - Subscript[z, 0]) + (I/4) (-PolyGamma[1, 6 - I Subscript[z, 0]] + PolyGamma[1, 6 + I Subscript[z, 0]]) (z - Subscript[z, 0])^2 + O[(z - Subscript[z, 0])^3] /; 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





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