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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 symbolical integer power





http://functions.wolfram.com/01.19.06.0060.01









  


  








Input Form





Sinh[z]^n == I^n ((Binomial[n, n/2] (1 - Mod[n, 2]))/2^n + 2^(1 - n) Sum[Binomial[n, k] Hypergeometric0F1[1/2, ((n - 2 k)^2/4) (z - (Pi I)/2)^2], {k, 0, Floor[(n - 1)/2]}]) /; Element[n, Integers] && n > 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