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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.2447.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(5/2), -(3/2)}, {7/2, 7/2}, z] == (525 (Pi^2 + 80 Pi^2 z + 2400 Pi^2 z^2 - 12800 Pi^2 z^3 + 3200 Pi^2 z^4))/ (134217728 (-z)^(5/2)) + (1/(268435456 z^2)) (Sqrt[1 - z] (-38745 - 2141230 z + 200337048 z^2 - 141820496 z^3 + 2140928 z^4 + 2560 z^5)) - (1/(268435456 (-z)^(5/2))) (105 (-249 - 10560 z - 348000 z^2 - 1024000 z^3 + 832000 z^4 - 6144 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1575 (1 + 80 z + 2400 z^2 - 12800 z^3 + 3200 z^4) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(67108864 (-z)^(5/2)) + (1/(33554432 (-z)^(5/2))) (1575 (1 + 80 z + 2400 z^2 - 12800 z^3 + 3200 z^4) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]]) + (1575 (1 + 80 z + 2400 z^2 - 12800 z^3 + 3200 z^4) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/(33554432 (-z)^(5/2)) - (1575 (1 + 80 z + 2400 z^2 - 12800 z^3 + 3200 z^4) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/(33554432 (-z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 5 2 , - 3 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["7", "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["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["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] - 1575 ( 3200 z 4 - 12800 z 3 + 2400 z 2 + 80 z + 1 ) log 2 ( 1 - z + - z ) 67108864 ( - z ) 5 / 2 - 105 ( - 6144 z 5 + 832000 z 4 - 1024000 z 3 - 348000 z 2 - 10560 z - 249 ) log ( 1 - z + - z ) 268435456 ( - z ) 5 / 2 + 1575 ( 3200 z 4 - 12800 z 3 + 2400 z 2 + 80 z + 1 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 33554432 ( - z ) 5 / 2 + 525 ( 3200 π 2 z 4 - 12800 π 2 z 3 + 2400 π 2 z 2 + 80 π 2 z + π 2 ) 134217728 ( - z ) 5 / 2 + 1 - z ( 2560 z 5 + 2140928 z 4 - 141820496 z 3 + 200337048 z 2 - 2141230 z - 38745 ) 268435456 z 2 + 1575 ( 3200 z 4 - 12800 z 3 + 2400 z 2 + 80 z + 1 ) Li PolyLog 2 ( - 1 - z - - z ) 33554432 ( - z ) 5 / 2 - 1575 ( 3200 z 4 - 12800 z 3 + 2400 z 2 + 80 z + 1 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 33554432 ( - z ) 5 / 2 HypergeometricPFQ -1 7 2 -1 5 2 -1 3 2 7 2 7 2 z -1 1575 3200 z 4 -1 12800 z 3 2400 z 2 80 z 1 1 -1 z 1 2 -1 z 1 2 2 67108864 -1 z 5 2 -1 -1 105 -6144 z 5 832000 z 4 -1 1024000 z 3 -1 348000 z 2 -1 10560 z -249 1 -1 z 1 2 -1 z 1 2 268435456 -1 z 5 2 -1 1575 3200 z 4 -1 12800 z 3 2400 z 2 80 z 1 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 33554432 -1 z 5 2 -1 525 3200 2 z 4 -1 12800 2 z 3 2400 2 z 2 80 2 z 2 134217728 -1 z 5 2 -1 1 -1 z 1 2 2560 z 5 2140928 z 4 -1 141820496 z 3 200337048 z 2 -1 2141230 z -38745 268435456 z 2 -1 1575 3200 z 4 -1 12800 z 3 2400 z 2 80 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 33554432 -1 z 5 2 -1 -1 1575 3200 z 4 -1 12800 z 3 2400 z 2 80 z 1 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 33554432 -1 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02