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DedekindEta






Mathematica Notation

Traditional Notation









Elliptic Functions > DedekindEta[z] > Series representations > q-series > Expansions at z==i infinity





http://functions.wolfram.com/09.49.06.0009.01









  


  










Input Form





DedekindEta[z] \[Proportional] ((1/Sqrt[(-I) z]) (1 - E^(-((2 I Pi)/z)) - E^(-((4 I Pi)/z)) + E^(-((10 I Pi)/z)) + E^(-((14 I Pi)/z)) - E^(-((24 I Pi)/z)) - E^(-((30 I Pi)/z)) + E^(-((44 I Pi)/z)) + E^(-((52 I Pi)/z)) - E^(-((70 I Pi)/z)) + \[Ellipsis]))/E^((I Pi)/(12 z)) /; (Abs[z] -> Infinity) && Arg[z] == Pi/2










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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