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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2529.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(5/2), -(1/2)}, {1/2, 7/2}, z] == (875 Pi^2 Sqrt[-z])/8192 + (Sqrt[1 - z] (-105 + 3080 z + 1448908 z^2 - 1716096 z^3 - 196192 z^4 - 1280 z^5))/(1572864 z^2) + (35 (1 - 30 z + 1200 z^2 + 4800 z^3 - 9600 z^4 - 768 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(524288 (-z)^(5/2)) - (2625 Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]]^2)/4096 + (2625 Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ 2048 + (2625 Sqrt[-z] PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/2048 - (2625 Sqrt[-z] PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/2048

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 5 2 , - 1 2 ; 1 2 , 7 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["1", "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[FractionBox["1", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["7", "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] - 2625 - z log 2 ( 1 - z + - z ) 4096 + 35 ( - 768 z 5 - 9600 z 4 + 4800 z 3 + 1200 z 2 - 30 z + 1 ) log ( 1 - z + - z ) 524288 ( - z ) 5 / 2 + 2625 - z log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 2048 + 1 - z ( - 1280 z 5 - 196192 z 4 - 1716096 z 3 + 1448908 z 2 + 3080 z - 105 ) 1572864 z 2 + 2625 - z Li PolyLog 2 ( - 1 - z - - z ) 2048 - 2625 - z Li PolyLog 2 ( - 1 - z - - z + 1 ) 2048 + 875 π 2 - z 8192 HypergeometricPFQ -1 7 2 -1 5 2 -1 1 2 1 2 7 2 z -1 2625 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 4096 -1 35 -768 z 5 -1 9600 z 4 4800 z 3 1200 z 2 -1 30 z 1 1 -1 z 1 2 -1 z 1 2 524288 -1 z 5 2 -1 2625 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 2048 -1 1 -1 z 1 2 -1280 z 5 -1 196192 z 4 -1 1716096 z 3 1448908 z 2 3080 z -105 1572864 z 2 -1 2625 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 2048 -1 -1 2625 -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 2048 -1 875 2 -1 z 1 2 8192 -1 [/itex]

 Rule Form

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

 2007-05-02