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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a9t7.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(1/2), 3/2}, {5/2, 7/2}, z] == (75 Pi^2)/(8192 (-z)^(3/2)) + (Sqrt[1 - z] (90 + 2385 z + 10582 z^2 + 776 z^3 - 48 z^4))/(16384 z^2) - (15 (6 + 35 z - 480 z^2 - 480 z^3) Log[Sqrt[1 - z] + Sqrt[-z]])/ (16384 (-z)^(5/2)) - (225 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (4096 (-z)^(3/2)) + (225 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(2048 (-z)^(3/2)) + (225 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(2048 (-z)^(3/2)) - (225 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(2048 (-z)^(3/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 1 2 , 3 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", 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["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] - 225 log 2 ( 1 - z + - z ) 4096 ( - z ) 3 / 2 - 15 ( - 480 z 3 - 480 z 2 + 35 z + 6 ) log ( 1 - z + - z ) 16384 ( - z ) 5 / 2 + 225 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 2048 ( - z ) 3 / 2 + 1 - z ( - 48 z 4 + 776 z 3 + 10582 z 2 + 2385 z + 90 ) 16384 z 2 + 225 Li PolyLog 2 ( - 1 - z - - z ) 2048 ( - z ) 3 / 2 - 225 Li PolyLog 2 ( - 1 - z - - z + 1 ) 2048 ( - z ) 3 / 2 + 75 π 2 8192 ( - z ) 3 / 2 HypergeometricPFQ -1 5 2 -1 1 2 3 2 5 2 7 2 z -1 225 1 -1 z 1 2 -1 z 1 2 2 4096 -1 z 3 2 -1 -1 15 -480 z 3 -1 480 z 2 35 z 6 1 -1 z 1 2 -1 z 1 2 16384 -1 z 5 2 -1 225 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 2048 -1 z 3 2 -1 1 -1 z 1 2 -48 z 4 776 z 3 10582 z 2 2385 z 90 16384 z 2 -1 225 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 2048 -1 z 3 2 -1 -1 225 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 2048 -1 z 3 2 -1 75 2 8192 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02