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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Series representations > Generalized power series > Expansions at z==Pi i/2 > For powers of the function > For the second power





http://functions.wolfram.com/01.19.06.0052.01









  


  










Input Form





Sinh[z]^2 == Subscript[F, Infinity][z] /; Subscript[F, m][z] == -1 - Sum[(2^(2 k - 1)/(2 k)!) (z - (Pi I)/2)^(2 k), {k, 1, m}] == Sinh[z]^2 + (1/2) Sqrt[Pi] (z - (Pi I)/2)^(2 + 2 m) HypergeometricPFQRegularized[{1}, {3/2 + m, 2 + m}, (z - (Pi I)/2)^2] && Element[m, Integers] && m >= 0










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