html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2339.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(5/2), -(5/2)}, {-(1/2), 1/2}, z] == (-(525/256)) (5 Pi^2 (-z)^(3/2) + 2 Pi^2 (-z)^(5/2)) + (Sqrt[1 - z] (1024 + 82237 z - 180566 z^2 + 600 z^3))/1024 + (105 (-75 Sqrt[-z] + 100 (-z)^(3/2) + 1096 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]])/1024 + (1575/128) (5 (-z)^(3/2) + 2 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]]^2 - (1575/64) (5 (-z)^(3/2) + 2 (-z)^(5/2)) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] - (1575/64) (5 (-z)^(3/2) + 2 (-z)^(5/2)) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] + (1575/64) (5 (-z)^(3/2) + 2 (-z)^(5/2)) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 5 2 , - 5 2 ; - 1 2 , 1 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "3"], SubscriptBox["F", "2"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["1", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 1575 128 ( 2 ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) log 2 ( 1 - z + - z ) + 105 ( 1096 ( - z ) 5 / 2 + 100 ( - z ) 3 / 2 - 75 - z ) log ( 1 - z + - z ) 1024 - 1575 64 ( 2 ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) - 525 256 ( 2 π 2 ( - z ) 5 / 2 + 5 π 2 ( - z ) 3 / 2 ) + 1 - z ( 600 z 3 - 180566 z 2 + 82237 z + 1024 ) 1024 - 1575 64 ( 2 ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z ) + 1575 64 ( 2 ( - z ) 5 / 2 + 5 ( - z ) 3 / 2 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 7 2 -1 5 2 -1 5 2 -1 1 2 1 2 z 1575 128 2 -1 z 5 2 5 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 105 1096 -1 z 5 2 100 -1 z 3 2 -1 75 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1024 -1 -1 1575 64 2 -1 z 5 2 5 -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 -1 525 256 2 2 -1 z 5 2 5 2 -1 z 3 2 1 -1 z 1 2 600 z 3 -1 180566 z 2 82237 z 1024 1024 -1 -1 1575 64 2 -1 z 5 2 5 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1575 64 2 -1 z 5 2 5 -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 [/itex]

 Rule Form

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

 2007-05-02