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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1302.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(1/2)}, {5/2, 7/2}, z] == (245 (-3 Pi^2 - 150 Pi^2 z + 800 Pi^2 z^2))/(4194304 (-z)^(3/2)) + (1/(251658240 z^2)) (Sqrt[1 - z] (-3675 - 1343090 z + 189081320 z^2 - 65687184 z^3 - 6331392 z^4 - 177024 z^5)) - (1/(16777216 (-z)^(5/2))) (7 (-35 - 7728 z - 336000 z^2 - 1120000 z^3 + 336000 z^4 + 26880 z^5 + 512 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (735 (-3 - 150 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (2097152 (-z)^(3/2)) + (735 (-3 - 150 z + 800 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (1048576 (-z)^(3/2)) + (735 (-3 - 150 z + 800 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(1048576 (-z)^(3/2)) - (735 (-3 - 150 z + 800 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (1048576 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 1 2 ; 5 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["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["5", "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] - 735 ( 800 z 2 - 150 z - 3 ) log 2 ( 1 - z + - z ) 2097152 ( - z ) 3 / 2 - 7 ( 512 z 6 + 26880 z 5 + 336000 z 4 - 1120000 z 3 - 336000 z 2 - 7728 z - 35 ) log ( 1 - z + - z ) 16777216 ( - z ) 5 / 2 + 735 ( 800 z 2 - 150 z - 3 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 1048576 ( - z ) 3 / 2 + 245 ( 800 π 2 z 2 - 150 π 2 z - 3 π 2 ) 4194304 ( - z ) 3 / 2 + 1 - z ( - 177024 z 5 - 6331392 z 4 - 65687184 z 3 + 189081320 z 2 - 1343090 z - 3675 ) 251658240 z 2 + 735 ( 800 z 2 - 150 z - 3 ) Li PolyLog 2 ( - 1 - z - - z ) 1048576 ( - z ) 3 / 2 - 735 ( 800 z 2 - 150 z - 3 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 1048576 ( - z ) 3 / 2 HypergeometricPFQ -1 7 2 -1 7 2 -1 1 2 5 2 7 2 z -1 735 800 z 2 -1 150 z -3 1 -1 z 1 2 -1 z 1 2 2 2097152 -1 z 3 2 -1 -1 7 512 z 6 26880 z 5 336000 z 4 -1 1120000 z 3 -1 336000 z 2 -1 7728 z -35 1 -1 z 1 2 -1 z 1 2 16777216 -1 z 5 2 -1 735 800 z 2 -1 150 z -3 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 1048576 -1 z 3 2 -1 245 800 2 z 2 -1 150 2 z -1 3 2 4194304 -1 z 3 2 -1 1 -1 z 1 2 -177024 z 5 -1 6331392 z 4 -1 65687184 z 3 189081320 z 2 -1 1343090 z -3675 251658240 z 2 -1 735 800 z 2 -1 150 z -3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1048576 -1 z 3 2 -1 -1 735 800 z 2 -1 150 z -3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 1048576 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02