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ArcCosh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcCosh[z] > Representations through equivalent functions > With related functions > Involving sech-1 > Involving cosh-1(a (b zc)m) > Involving cosh-1(a (b zc)m) and sech-1(1/ab-m z-m c)





http://functions.wolfram.com/01.26.27.2369.01









  


  








Input Form





ArcCosh[a (b z^c)^m] == (Sqrt[a (b z^c)^m - 1]/Sqrt[1 - a (b z^c)^m]) (Pi/2 - ((b z^c)^m/(b^m z^(m c))) (Pi/2 - (Sqrt[1 - a b^m z^(m c)]/Sqrt[a b^m z^(m c) - 1]) ArcSech[1/a/(b^m z^(m c))])) /; Element[2 m, Integers]








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)





2003-08-21