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ArcCoth






Mathematica Notation

Traditional Notation









Elementary Functions > ArcCoth[z] > Representations through equivalent functions > With related functions > Involving csc-1 > Involving coth-1(1-2 z2/2 z (z2-1)1/2) > Involving coth-1(1-2 z2/2 z (z2-1)1/2) and csc-1(1/z)





http://functions.wolfram.com/01.28.27.1549.01









  


  










Input Form





ArcCoth[(1 - 2 z^2)/(2 z Sqrt[z^2 - 1])] == (Sqrt[z^2 - 1]/Sqrt[1 - z^2]) (2 ArcCsc[1/z] - (Pi/2) (Sqrt[1/z] Sqrt[z] Sqrt[1/(-1 + Sqrt[2] z)] Sqrt[-1 + Sqrt[2] z] - Sqrt[-(1/z)] Sqrt[-z] Sqrt[-1 - Sqrt[2] z] Sqrt[-(1/(1 + Sqrt[2] z))] + Sqrt[z^2]/z + (z Sqrt[-1 + z^2])/ Sqrt[-z^2 + z^4]))










Standard Form





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MathML Form







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</apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <apply> <power /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2003-09-04