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RamanujanTauTheta






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/10.12.06.0029.01









  


  










Input Form





RamanujanTauTheta[z] \[Proportional] (-(I/2)) Log[(-I) (z + I (6 + n))] + (n Pi)/2 + n Pi Floor[Arg[(-I) (z + I (6 + n))]/(2 Pi)] + I (6 + n) Log[2 Pi] - (1/2) I Log[n! (n + 11)!] + (1/2) (-2 Log[2 Pi] + PolyGamma[1 + n] + PolyGamma[12 + n]) (z + I (6 + n)) - (I/4) (Pi^2/3 - PolyGamma[1, 1 + n] - PolyGamma[1, 12 + n]) (z + I (6 + n))^2 + \[Ellipsis] /; (z -> (-I) (6 + n)) && Element[n, Integers] && n >= 0










Standard Form





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MathML Form







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Rule Form





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2007-05-02





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