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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.aaz5.01

 Input Form

 HypergeometricPFQ[{-(5/2), 1/2, 4}, {7/2, 7/2}, z] == (-4605 + 32615 z + 93261 z^2 - 37065 z^3 + 6930 z^4)/(262144 z^2) + (15 (-187 + 1050 z - 5700 z^2 + 7000 z^3 - 2625 z^4 + 462 z^5) Log[1 - Sqrt[z]])/(524288 z^(5/2)) - (15 (-187 + 1050 z - 5700 z^2 + 7000 z^3 - 2625 z^4 + 462 z^5) Log[1 + Sqrt[z]])/(524288 z^(5/2)) - (225 (1 - 10 z + 50 z^2) PolyLog[2, -Sqrt[z]])/(65536 z^(5/2)) + (225 (1 - 10 z + 50 z^2) PolyLog[2, Sqrt[z]])/(65536 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , 1 2 , 4 ; 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["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[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] 6930 z 4 - 37065 z 3 + 93261 z 2 + 32615 z - 4605 262144 z 2 + 15 ( 462 z 5 - 2625 z 4 + 7000 z 3 - 5700 z 2 + 1050 z - 187 ) log ( 1 - z ) 524288 z 5 / 2 - 15 ( 462 z 5 - 2625 z 4 + 7000 z 3 - 5700 z 2 + 1050 z - 187 ) log ( z + 1 ) 524288 z 5 / 2 - 225 ( 50 z 2 - 10 z + 1 ) Li PolyLog 2 ( - z ) 65536 z 5 / 2 + 225 ( 50 z 2 - 10 z + 1 ) Li PolyLog 2 ( z ) 65536 z 5 / 2 HypergeometricPFQ -1 5 2 1 2 4 7 2 7 2 z 6930 z 4 -1 37065 z 3 93261 z 2 32615 z -4605 262144 z 2 -1 15 462 z 5 -1 2625 z 4 7000 z 3 -1 5700 z 2 1050 z -187 1 -1 z 1 2 524288 z 5 2 -1 -1 15 462 z 5 -1 2625 z 4 7000 z 3 -1 5700 z 2 1050 z -187 z 1 2 1 524288 z 5 2 -1 -1 225 50 z 2 -1 10 z 1 PolyLog 2 -1 z 1 2 65536 z 5 2 -1 225 50 z 2 -1 10 z 1 PolyLog 2 z 1 2 65536 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02