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Sinh




Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Representations through more general functions > Through Meijer G > Classical cases for powers of cosh





http://functions.wolfram.com/01.19.26.0008.01









  


  








Input Form





Sinh[Sqrt[z]]^n == (-1)^(n/2) 2^(-n - 1) Binomial[n, n/2] ((-1)^n + 1) + 2^(1 - n) Pi^(3/2) Sum[(-1)^(k + n) Binomial[n, k] MeijerG[{{}, {(1/4) (1 + (-1)^n)}}, {{(1/4) (1 - (-1)^n)}, {(1/4) (1 + (-1)^n), (1/4) (1 + (-1)^n)}}, (1/4) z (n - 2 k)^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