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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Transformations > Products, sums, and powers of the direct function > Powers of the direct function





http://functions.wolfram.com/01.19.16.0103.01









  


  










Input Form





Sinh[z]^n == (I^n Binomial[n, n/2] (1 - Mod[n, 2]))/2^n - I^n 2^(1 - n) Sum[(-1)^(k - 1) Binomial[n, k] Cosh[(n - 2 k) z - (Pi I n)/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)





2001-10-29