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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1196.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {3/2, 5/2}, z] == (3675 (Pi^2 - 32 Pi^2 z + 32 Pi^2 z^2))/(1048576 Sqrt[-z]) - (Sqrt[1 - z] (735 - 4507390 z + 15890564 z^2 - 1181688 z^3 - 22576 z^4))/ (5242880 z) + (21 (-7 - 4900 z + 5600 z^2 + 100800 z^3 - 4480 z^4 - 64 z^5) Log[Sqrt[1 - z] + Sqrt[-z]])/(1048576 (-z)^(3/2)) - (11025 (1 - 32 z + 32 z^2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/ (524288 Sqrt[-z]) + (11025 (1 - 32 z + 32 z^2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/(262144 Sqrt[-z]) + (11025 (1 - 32 z + 32 z^2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (262144 Sqrt[-z]) - (11025 (1 - 32 z + 32 z^2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(262144 Sqrt[-z])

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 3 2 ; 3 2 , 5 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[RowBox[List["-", 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["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "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] - 11025 ( 32 z 2 - 32 z + 1 ) log 2 ( 1 - z + - z ) 524288 - z + 21 ( - 64 z 5 - 4480 z 4 + 100800 z 3 + 5600 z 2 - 4900 z - 7 ) log ( 1 - z + - z ) 1048576 ( - z ) 3 / 2 + 11025 ( 32 z 2 - 32 z + 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 262144 - z + 3675 ( 32 π 2 z 2 - 32 π 2 z + π 2 ) 1048576 - z - 1 - z ( - 22576 z 4 - 1181688 z 3 + 15890564 z 2 - 4507390 z + 735 ) 5242880 z + 11025 ( 32 z 2 - 32 z + 1 ) Li PolyLog 2 ( - 1 - z - - z ) 262144 - z - 11025 ( 32 z 2 - 32 z + 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 262144 - z HypergeometricPFQ -1 7 2 -1 7 2 -1 3 2 3 2 5 2 z -1 11025 32 z 2 -1 32 z 1 1 -1 z 1 2 -1 z 1 2 2 524288 -1 z 1 2 -1 21 -64 z 5 -1 4480 z 4 100800 z 3 5600 z 2 -1 4900 z -7 1 -1 z 1 2 -1 z 1 2 1048576 -1 z 3 2 -1 11025 32 z 2 -1 32 z 1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 262144 -1 z 1 2 -1 3675 32 2 z 2 -1 32 2 z 2 1048576 -1 z 1 2 -1 -1 1 -1 z 1 2 -22576 z 4 -1 1181688 z 3 15890564 z 2 -1 4507390 z 735 5242880 z -1 11025 32 z 2 -1 32 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 262144 -1 z 1 2 -1 -1 11025 32 z 2 -1 32 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 262144 -1 z 1 2 -1 [/itex]

 Rule Form

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

 2007-05-02