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ArcSinh






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > Series representations > Generalized power series > Expansions at z==i > For small integer powers of the function > For the second power





http://functions.wolfram.com/01.25.06.0047.01









  


  










Input Form





ArcSinh[z]^2 == -(Pi^2/4) + Pi Sqrt[2] Sqrt[I (z - I)] Sum[(I^k Pochhammer[1/2, k] (z - I)^k)/(2^k (2 k + 1) k!), {k, 0, Infinity}] - 2 I (z - I) Sum[(I^k Pochhammer[1/2, k] (z - I)^k)/(2^k (2 k + 1) k!), {k, 0, Infinity}]^2 /; Abs[z - I] < 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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