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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.aacr.01

 Input Form

 HypergeometricPFQ[{-(5/2), 1/2, 1/2}, {7/2, 7/2}, z] == (75 (3 Pi^2 + 40 Pi^2 z + 80 Pi^2 z^2))/(65536 (-z)^(5/2)) + (Sqrt[1 - z] (-12465 - 82710 z + 23048 z^2 - 1936 z^3 + 128 z^4))/ (131072 z^2) - (15 (-471 - 200 z + 5600 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/ (131072 (-z)^(5/2)) - (225 (3 + 40 z + 80 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^ 2)/(32768 (-z)^(5/2)) + (225 (3 + 40 z + 80 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (16384 (-z)^(5/2)) + (225 (3 + 40 z + 80 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(16384 (-z)^(5/2)) - (225 (3 + 40 z + 80 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (16384 (-z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 1 2 , 1 2 ; 7 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[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[TagBox[RowBox[List[TagBox[FractionBox["7", "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] - 225 ( 80 z 2 + 40 z + 3 ) log 2 ( 1 - z + - z ) 32768 ( - z ) 5 / 2 - 15 ( 5600 z 2 - 200 z - 471 ) log ( 1 - z + - z ) 131072 ( - z ) 5 / 2 + 225 ( 80 z 2 + 40 z + 3 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 16384 ( - z ) 5 / 2 + 75 ( 80 π 2 z 2 + 40 π 2 z + 3 π 2 ) 65536 ( - z ) 5 / 2 + 1 - z ( 128 z 4 - 1936 z 3 + 23048 z 2 - 82710 z - 12465 ) 131072 z 2 + 225 ( 80 z 2 + 40 z + 3 ) Li PolyLog 2 ( - 1 - z - - z ) 16384 ( - z ) 5 / 2 - 225 ( 80 z 2 + 40 z + 3 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 16384 ( - z ) 5 / 2 HypergeometricPFQ -1 5 2 1 2 1 2 7 2 7 2 z -1 225 80 z 2 40 z 3 1 -1 z 1 2 -1 z 1 2 2 32768 -1 z 5 2 -1 -1 15 5600 z 2 -1 200 z -471 1 -1 z 1 2 -1 z 1 2 131072 -1 z 5 2 -1 225 80 z 2 40 z 3 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 16384 -1 z 5 2 -1 75 80 2 z 2 40 2 z 3 2 65536 -1 z 5 2 -1 1 -1 z 1 2 128 z 4 -1 1936 z 3 23048 z 2 -1 82710 z -12465 131072 z 2 -1 225 80 z 2 40 z 3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 16384 -1 z 5 2 -1 -1 225 80 z 2 40 z 3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 16384 -1 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02