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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1102.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(5/2)}, {1/2, 7/2}, z] == (1225 Sqrt[-z] (25 Pi^2 - 75 Pi^2 z + 12 Pi^2 z^2))/131072 + (1/(100663296 z^2)) (Sqrt[1 - z] (-735 + 43610 z + 96282304 z^2 - 1243792848 z^3 + 554351424 z^4 - 4104960 z^5)) - (1/(33554432 (-z)^(5/2))) (35 (-7 + 420 z - 42000 z^2 + 1792000 z^3 + 7056000 z^4 - 3128832 z^5 + 10240 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (3675 Sqrt[-z] (25 - 75 z + 12 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/65536 + (3675 Sqrt[-z] (25 - 75 z + 12 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/32768 + (3675 Sqrt[-z] (25 - 75 z + 12 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ 32768 - (3675 Sqrt[-z] (25 - 75 z + 12 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/32768

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 5 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["7", "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[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] - 3675 - z ( 12 z 2 - 75 z + 25 ) log 2 ( 1 - z + - z ) 65536 - 1 33554432 ( - z ) 5 / 2 35 ( 10240 z 6 - 3128832 z 5 + 7056000 z 4 + 1792000 z 3 - 42000 z 2 + 420 z - 7 ) log ( 1 - z + - z ) + 3675 - z ( 12 z 2 - 75 z + 25 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 32768 + 1225 - z ( 12 π 2 z 2 - 75 π 2 z + 25 π 2 ) 131072 + 1 - z ( - 4104960 z 5 + 554351424 z 4 - 1243792848 z 3 + 96282304 z 2 + 43610 z - 735 ) 100663296 z 2 + 3675 - z ( 12 z 2 - 75 z + 25 ) Li PolyLog 2 ( - 1 - z - - z ) 32768 - 3675 - z ( 12 z 2 - 75 z + 25 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 32768 HypergeometricPFQ -1 7 2 -1 7 2 -1 5 2 1 2 7 2 z -1 3675 -1 z 1 2 12 z 2 -1 75 z 25 1 -1 z 1 2 -1 z 1 2 2 65536 -1 -1 1 33554432 -1 z 5 2 -1 35 10240 z 6 -1 3128832 z 5 7056000 z 4 1792000 z 3 -1 42000 z 2 420 z -7 1 -1 z 1 2 -1 z 1 2 3675 -1 z 1 2 12 z 2 -1 75 z 25 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 32768 -1 1225 -1 z 1 2 12 2 z 2 -1 75 2 z 25 2 131072 -1 1 -1 z 1 2 -4104960 z 5 554351424 z 4 -1 1243792848 z 3 96282304 z 2 43610 z -735 100663296 z 2 -1 3675 -1 z 1 2 12 z 2 -1 75 z 25 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 32768 -1 -1 3675 -1 z 1 2 12 z 2 -1 75 z 25 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 32768 -1 [/itex]

 Rule Form

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

 2007-05-02