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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(5/2), 1/2, 3/2}, {7/2, 7/2}, z] == (75 (-3 Pi^2 - 20 Pi^2 z))/(16384 (-z)^(5/2)) + (Sqrt[1 - z] (11115 + 26310 z + 11072 z^2 - 1904 z^3 + 192 z^4))/ (32768 z^2) + (15 (-381 + 1100 z + 2400 z^2) Log[Sqrt[1 - z] + Sqrt[-z]])/ (32768 (-z)^(5/2)) - (225 (-3 - 20 z) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (8192 (-z)^(5/2)) + (225 (-3 - 20 z) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(4096 (-z)^(5/2)) + (225 (-3 - 20 z) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(4096 (-z)^(5/2)) - (225 (-3 - 20 z) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(4096 (-z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 1 2 , 3 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["3", "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 ( - 20 z - 3 ) log 2 ( 1 - z + - z ) 8192 ( - z ) 5 / 2 + 15 ( 2400 z 2 + 1100 z - 381 ) log ( 1 - z + - z ) 32768 ( - z ) 5 / 2 + 225 ( - 20 z - 3 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 4096 ( - z ) 5 / 2 + 75 ( - 20 π 2 z - 3 π 2 ) 16384 ( - z ) 5 / 2 + 1 - z ( 192 z 4 - 1904 z 3 + 11072 z 2 + 26310 z + 11115 ) 32768 z 2 + 225 ( - 20 z - 3 ) Li PolyLog 2 ( - 1 - z - - z ) 4096 ( - z ) 5 / 2 - 225 ( - 20 z - 3 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 4096 ( - z ) 5 / 2 HypergeometricPFQ -1 5 2 1 2 3 2 7 2 7 2 z -1 225 -20 z -3 1 -1 z 1 2 -1 z 1 2 2 8192 -1 z 5 2 -1 15 2400 z 2 1100 z -381 1 -1 z 1 2 -1 z 1 2 32768 -1 z 5 2 -1 225 -20 z -3 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 4096 -1 z 5 2 -1 75 -20 2 z -1 3 2 16384 -1 z 5 2 -1 1 -1 z 1 2 192 z 4 -1 1904 z 3 11072 z 2 26310 z 11115 32768 z 2 -1 225 -20 z -3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 4096 -1 z 5 2 -1 -1 225 -20 z -3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 4096 -1 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02