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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1018.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(3/2), 7/2}, z] == (1225 (-z)^(5/2) (21 Pi^2 - Pi^2 z))/24576 + (1/(75497472 z^2)) (Sqrt[1 - z] (-5145 + 181790 z + 67900708 z^2 + 484622856 z^3 + 1622762144 z^4 - 301713728 z^5)) - (1/(25165824 (-z)^(5/2))) (35 (-49 + 1764 z - 73500 z^2 - 1568000 z^3 - 7056000 z^4 - 10612224 z^5 + 1462784 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1225 (21 - z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/4096 + (1225 (21 - z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/2048 + (1225 (21 - z) (-z)^(5/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/2048 - (1225 (21 - z) (-z)^(5/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/2048

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 7 2 ; - 3 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "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["3", "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] - 1225 ( 21 - z ) log 2 ( 1 - z + - z ) ( - z ) 5 / 2 4096 + 1225 ( 21 π 2 - π 2 z ) ( - z ) 5 / 2 24576 + 1225 ( 21 - z ) log ( 1 - z + - z ) log ( 1 - z + - z + 1 ) ( - z ) 5 / 2 2048 + 1225 ( 21 - z ) Li PolyLog 2 ( - 1 - z - - z ) ( - z ) 5 / 2 2048 - 1225 ( 21 - z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) ( - z ) 5 / 2 2048 + 1 - z ( - 301713728 z 5 + 1622762144 z 4 + 484622856 z 3 + 67900708 z 2 + 181790 z - 5145 ) 75497472 z 2 - 1 25165824 ( - z ) 5 / 2 35 ( 1462784 z 6 - 10612224 z 5 - 7056000 z 4 - 1568000 z 3 - 73500 z 2 + 1764 z - 49 ) log ( 1 - z + - z ) HypergeometricPFQ -1 7 2 -1 7 2 -1 7 2 -1 3 2 7 2 z -1 1225 21 -1 z 1 -1 z 1 2 -1 z 1 2 2 -1 z 5 2 4096 -1 1225 21 2 -1 2 z -1 z 5 2 24576 -1 1225 21 -1 z 1 -1 z 1 2 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 -1 z 5 2 2048 -1 1225 21 -1 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 z 5 2 2048 -1 -1 1225 21 -1 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 -1 z 5 2 2048 -1 1 -1 z 1 2 -301713728 z 5 1622762144 z 4 484622856 z 3 67900708 z 2 181790 z -5145 75497472 z 2 -1 -1 1 25165824 -1 z 5 2 -1 35 1462784 z 6 -1 10612224 z 5 -1 7056000 z 4 -1 1568000 z 3 -1 73500 z 2 1764 z -49 1 -1 z 1 2 -1 z 1 2 [/itex]

 Rule Form

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

 2007-05-02