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 ArcCsc

 http://functions.wolfram.com/01.17.26.0040.01

 Input Form

 ArcCsc[z] == Pi/2 - Sqrt[(z - 1)/z] Sqrt[(z + 1)/z] Hypergeometric2F1[1, 1, 3/2, (z - 1)/(2 z)]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcCsc", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["\[Pi]", "2"], "-", " ", RowBox[List[SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], "z"]], " ", SqrtBox[FractionBox[RowBox[List["z", "+", "1"]], "z"]], RowBox[List["Hypergeometric2F1", "[", RowBox[List["1", ",", "1", ",", FractionBox["3", "2"], ",", FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", " ", "z"]]]]], "]"]]]]]]]]]]

 MathML Form

 csc - 1 ( z ) π 2 - z - 1 z z + 1 z 2 F 1 ( 1 , 1 ; 3 2 ; z - 1 2 z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", FormBox["2", TraditionalForm]], SubscriptBox["F", FormBox["1", TraditionalForm]]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox["1", Hypergeometric2F1, Rule[Editable, True]], ",", TagBox["1", Hypergeometric2F1, Rule[Editable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric2F1, Rule[Editable, False]], ";", TagBox[TagBox[TagBox[FractionBox["3", "2"], Hypergeometric2F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric2F1, Rule[Editable, False]], ";", TagBox[FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", " ", "z"]]], Hypergeometric2F1, Rule[Editable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False]], Hypergeometric2F1] z 2 -1 -1 z -1 z -1 1 2 z 1 z -1 1 2 Hypergeometric2F1 1 1 3 2 z -1 2 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsc", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["\[Pi]", "2"], "-", RowBox[List[SqrtBox[FractionBox[RowBox[List["z", "-", "1"]], "z"]], " ", SqrtBox[FractionBox[RowBox[List["z", "+", "1"]], "z"]], " ", RowBox[List["Hypergeometric2F1", "[", RowBox[List["1", ",", "1", ",", FractionBox["3", "2"], ",", FractionBox[RowBox[List["z", "-", "1"]], RowBox[List["2", " ", "z"]]]]], "]"]]]]]]]]]]

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

 2007-05-02