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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1463.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), 1}, {-(3/2), 7/2}, z] == (-1470 + 12740 z + 96447 z^2 - 213003 z^3 + 664685 z^4 + 240345 z^5)/ (147456 z^2) + (245 (-2 + 18 z - 75 z^2 + 200 z^3 - 450 z^4 + 102 z^5 + 207 z^6) Log[1 - Sqrt[z]])/(98304 z^(5/2)) - (245 (-2 + 18 z - 75 z^2 + 200 z^3 - 450 z^4 + 102 z^5 + 207 z^6) Log[1 + Sqrt[z]])/(98304 z^(5/2)) - (1225 z^(5/2) (6 + z) PolyLog[2, -Sqrt[z]])/4096 + (1225 z^(5/2) (6 + z) PolyLog[2, Sqrt[z]])/4096

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , 1 ; - 3 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["1", 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["3", "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] - 1225 ( z + 6 ) Li PolyLog 2 ( - z ) z 5 / 2 4096 + 1225 ( z + 6 ) Li PolyLog 2 ( z ) z 5 / 2 4096 + 240345 z 5 + 664685 z 4 - 213003 z 3 + 96447 z 2 + 12740 z - 1470 147456 z 2 + 245 ( 207 z 6 + 102 z 5 - 450 z 4 + 200 z 3 - 75 z 2 + 18 z - 2 ) log ( 1 - z ) 98304 z 5 / 2 - 245 ( 207 z 6 + 102 z 5 - 450 z 4 + 200 z 3 - 75 z 2 + 18 z - 2 ) log ( z + 1 ) 98304 z 5 / 2 HypergeometricPFQ -1 7 2 -1 7 2 1 -1 3 2 7 2 z -1 1225 z 6 PolyLog 2 -1 z 1 2 z 5 2 4096 -1 1225 z 6 PolyLog 2 z 1 2 z 5 2 4096 -1 240345 z 5 664685 z 4 -1 213003 z 3 96447 z 2 12740 z -1470 147456 z 2 -1 245 207 z 6 102 z 5 -1 450 z 4 200 z 3 -1 75 z 2 18 z -2 1 -1 z 1 2 98304 z 5 2 -1 -1 245 207 z 6 102 z 5 -1 450 z 4 200 z 3 -1 75 z 2 18 z -2 z 1 2 1 98304 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02