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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a7qf.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(5/2), -(5/2)}, {7/2, 7/2}, z] == (Sqrt[1 - z] (-16695 - 966780 z + 101221948 z^2 - 88552256 z^3 + 3790048 z^4))/(134217728 z^2) + (75 (3 Pi^2 + 250 Pi^2 z + 8000 Pi^2 z^2 - 48000 Pi^2 z^3 + 16000 Pi^2 z^4 - 256 Pi^2 z^5))/(67108864 (-z)^(5/2)) - (1/(134217728 (-z)^(5/2))) (15 (-753 - 33750 z - 1200000 z^2 - 3360000 z^3 + 3680000 z^4 - 117248 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) - (225 (3 + 250 z + 8000 z^2 - 48000 z^3 + 16000 z^4 - 256 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(33554432 (-z)^(5/2)) + (1/(16777216 (-z)^(5/2))) (225 (3 + 250 z + 8000 z^2 - 48000 z^3 + 16000 z^4 - 256 z^5) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (225 (3 + 250 z + 8000 z^2 - 48000 z^3 + 16000 z^4 - 256 z^5) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(16777216 (-z)^(5/2)) - (1/(16777216 (-z)^(5/2))) (225 (3 + 250 z + 8000 z^2 - 48000 z^3 + 16000 z^4 - 256 z^5) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 5 2 , - 5 2 ; 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[RowBox[List["-", FractionBox["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["5", "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["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] - 225 ( - 256 z 5 + 16000 z 4 - 48000 z 3 + 8000 z 2 + 250 z + 3 ) log 2 ( 1 - z + - z ) 33554432 ( - z ) 5 / 2 - 1 134217728 ( - z ) 5 / 2 15 ( - 117248 z 5 + 3680000 z 4 - 3360000 z 3 - 1200000 z 2 - 33750 z - 753 ) log ( 1 - z + - z ) + 1 16777216 ( - z ) 5 / 2 225 ( - 256 z 5 + 16000 z 4 - 48000 z 3 + 8000 z 2 + 250 z + 3 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) + 1 - z ( 3790048 z 4 - 88552256 z 3 + 101221948 z 2 - 966780 z - 16695 ) 134217728 z 2 + 75 ( - 256 π 2 z 5 + 16000 π 2 z 4 - 48000 π 2 z 3 + 8000 π 2 z 2 + 250 π 2 z + 3 π 2 ) 67108864 ( - z ) 5 / 2 + 225 ( - 256 z 5 + 16000 z 4 - 48000 z 3 + 8000 z 2 + 250 z + 3 ) Li PolyLog 2 ( - 1 - z - - z ) 16777216 ( - z ) 5 / 2 - 225 ( - 256 z 5 + 16000 z 4 - 48000 z 3 + 8000 z 2 + 250 z + 3 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 16777216 ( - z ) 5 / 2 HypergeometricPFQ -1 5 2 -1 5 2 -1 5 2 7 2 7 2 z -1 225 -256 z 5 16000 z 4 -1 48000 z 3 8000 z 2 250 z 3 1 -1 z 1 2 -1 z 1 2 2 33554432 -1 z 5 2 -1 -1 1 134217728 -1 z 5 2 -1 15 -117248 z 5 3680000 z 4 -1 3360000 z 3 -1 1200000 z 2 -1 33750 z -753 1 -1 z 1 2 -1 z 1 2 1 16777216 -1 z 5 2 -1 225 -256 z 5 16000 z 4 -1 48000 z 3 8000 z 2 250 z 3 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 1 -1 z 1 2 3790048 z 4 -1 88552256 z 3 101221948 z 2 -1 966780 z -16695 134217728 z 2 -1 75 -256 2 z 5 16000 2 z 4 -1 48000 2 z 3 8000 2 z 2 250 2 z 3 2 67108864 -1 z 5 2 -1 225 -256 z 5 16000 z 4 -1 48000 z 3 8000 z 2 250 z 3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 16777216 -1 z 5 2 -1 -1 225 -256 z 5 16000 z 4 -1 48000 z 3 8000 z 2 250 z 3 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 16777216 -1 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02