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ArcSinh




Mathematica Notation

Traditional Notation









Elementary Functions > ArcSinh[z] > General characteristics > Domain and analyticity





http://functions.wolfram.com/01.25.04.0001.01









  


  








Input Form





DomainAndRange[Function[z, ArcSinh[z]]] == Complexes \[LongRightArrow] Complexes








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["z", ",", RowBox[List["ArcSinh", "[", "z", "]"]]]], "]"]], "]"]], " ", "\[Equal]", RowBox[List["Complexes", "\[LongRightArrow]", "Complexes"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> z </mi> <mo> &#10230; </mo> <mrow> <msup> <mi> sinh </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#8759; </mo> <mrow> <mi> &#8450; </mi> <mo> &#10230; </mo> <mi> &#8450; </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> z </ci> <apply> <arcsinh /> <ci> z </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <ci> &#8450; </ci> <ci> &#8450; </ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["z_", ",", RowBox[List["ArcSinh", "[", "z_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Complexes", "\[LongRightArrow]", "Complexes"]]]]]]


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





2001-10-29