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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2215.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), 4}, {-(1/2), 1/2}, z] == (12288 - 2279823 z - 33088475 z^2 - 22586550 z^3)/12288 - (1225 (-35 Sqrt[z] - 2748 z^(3/2) - 789 z^(5/2) + 3572 z^(7/2)) Log[1 - Sqrt[z]])/8192 + (1225 (-35 Sqrt[z] - 2748 z^(3/2) - 789 z^(5/2) + 3572 z^(7/2)) Log[1 + Sqrt[z]])/8192 + (11025 (105 z^(3/2) + 462 z^(5/2) + 143 z^(7/2)) PolyLog[2, -Sqrt[z]])/4096 - (11025 (105 z^(3/2) + 462 z^(5/2) + 143 z^(7/2)) PolyLog[2, Sqrt[z]])/4096

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , 4 ; - 1 2 , 1 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["4", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", 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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 22586550 z 3 - 33088475 z 2 - 2279823 z + 12288 12288 - 1225 ( 3572 z 7 / 2 - 789 z 5 / 2 - 2748 z 3 / 2 - 35 z ) log ( 1 - z ) 8192 + 1225 ( 3572 z 7 / 2 - 789 z 5 / 2 - 2748 z 3 / 2 - 35 z ) log ( z + 1 ) 8192 + 11025 ( 143 z 7 / 2 + 462 z 5 / 2 + 105 z 3 / 2 ) Li PolyLog 2 ( - z ) 4096 - 11025 ( 143 z 7 / 2 + 462 z 5 / 2 + 105 z 3 / 2 ) Li PolyLog 2 ( z ) 4096 HypergeometricPFQ -1 7 2 -1 7 2 4 -1 1 2 1 2 z -22586550 z 3 -1 33088475 z 2 -1 2279823 z 12288 12288 -1 -1 1225 3572 z 7 2 -1 789 z 5 2 -1 2748 z 3 2 -1 35 z 1 2 1 -1 z 1 2 8192 -1 1225 3572 z 7 2 -1 789 z 5 2 -1 2748 z 3 2 -1 35 z 1 2 z 1 2 1 8192 -1 11025 143 z 7 2 462 z 5 2 105 z 3 2 PolyLog 2 -1 z 1 2 4096 -1 -1 11025 143 z 7 2 462 z 5 2 105 z 3 2 PolyLog 2 z 1 2 4096 -1 [/itex]

 Rule Form

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

 2007-05-02