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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1295.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(1/2)}, {3/2, 3/2}, z] == (1225 Pi^2 (1 - 32 z))/(393216 Sqrt[-z]) + (Sqrt[1 - z] (1021623 - 1545890 z - 359664 z^2 - 20224 z^3))/1179648 - (35 (-1085 - 2240 z + 10080 z^2 + 1792 z^3 + 64 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(393216 Sqrt[-z]) - (1225 (1 - 32 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(65536 Sqrt[-z]) + (1225 (1 - 32 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(32768 Sqrt[-z]) + (1225 (1 - 32 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(32768 Sqrt[-z]) - (1225 (1 - 32 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(32768 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 1 2 ; 3 2 , 3 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["7", "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["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["3", "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] - 1225 ( 1 - 32 z ) log 2 ( 1 - z + - z ) 65536 - z - 35 ( 64 z 4 + 1792 z 3 + 10080 z 2 - 2240 z - 1085 ) log ( 1 - z + - z ) 393216 - z + 1225 ( 1 - 32 z ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 32768 - z + 1 - z ( - 20224 z 3 - 359664 z 2 - 1545890 z + 1021623 ) 1179648 + 1225 ( 1 - 32 z ) Li PolyLog 2 ( - 1 - z - - z ) 32768 - z - 1225 ( 1 - 32 z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 32768 - z + 1225 π 2 ( 1 - 32 z ) 393216 - z HypergeometricPFQ -1 7 2 -1 7 2 -1 1 2 3 2 3 2 z -1 1225 1 -1 32 z 1 -1 z 1 2 -1 z 1 2 2 65536 -1 z 1 2 -1 -1 35 64 z 4 1792 z 3 10080 z 2 -1 2240 z -1085 1 -1 z 1 2 -1 z 1 2 393216 -1 z 1 2 -1 1225 1 -1 32 z 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 32768 -1 z 1 2 -1 1 -1 z 1 2 -20224 z 3 -1 359664 z 2 -1 1545890 z 1021623 1179648 -1 1225 1 -1 32 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 32768 -1 z 1 2 -1 -1 1225 1 -1 32 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 32768 -1 z 1 2 -1 1225 2 1 -1 32 z 393216 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02