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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1904.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), 5/2}, {7/2, 7/2}, z] == (1225 Pi^2)/(12582912 (-z)^(5/2)) + (1/(37748736 z^2)) (Sqrt[1 - z] (-93345 + 471870 z + 31441848 z^2 + 62040624 z^3 + 24714688 z^4 + 1604480 z^5)) + (1/(12582912 (-z)^(5/2))) (35 (469 - 5040 z + 63000 z^2 + 448000 z^3 + 504000 z^4 + 129024 z^5 + 5120 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (1225 Log[Sqrt[1 - z] + Sqrt[-z]]^2)/(2097152 (-z)^(5/2)) + (1225 Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/ (1048576 (-z)^(5/2)) + (1225 PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/ (1048576 (-z)^(5/2)) - (1225 PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/ (1048576 (-z)^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 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["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["7", "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[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] - 1225 log 2 ( 1 - z + - z ) 2097152 ( - z ) 5 / 2 + 1 12582912 ( - z ) 5 / 2 35 ( 5120 z 6 + 129024 z 5 + 504000 z 4 + 448000 z 3 + 63000 z 2 - 5040 z + 469 ) log ( 1 - z + - z ) + 1225 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 1048576 ( - z ) 5 / 2 + 1 - z ( 1604480 z 5 + 24714688 z 4 + 62040624 z 3 + 31441848 z 2 + 471870 z - 93345 ) 37748736 z 2 + 1225 Li PolyLog 2 ( - 1 - z - - z ) 1048576 ( - z ) 5 / 2 - 1225 Li PolyLog 2 ( - 1 - z - - z + 1 ) 1048576 ( - z ) 5 / 2 + 1225 π 2 12582912 ( - z ) 5 / 2 HypergeometricPFQ -1 7 2 -1 7 2 5 2 7 2 7 2 z -1 1225 1 -1 z 1 2 -1 z 1 2 2 2097152 -1 z 5 2 -1 1 12582912 -1 z 5 2 -1 35 5120 z 6 129024 z 5 504000 z 4 448000 z 3 63000 z 2 -1 5040 z 469 1 -1 z 1 2 -1 z 1 2 1225 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 1048576 -1 z 5 2 -1 1 -1 z 1 2 1604480 z 5 24714688 z 4 62040624 z 3 31441848 z 2 471870 z -93345 37748736 z 2 -1 1225 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1048576 -1 z 5 2 -1 -1 1225 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 1048576 -1 z 5 2 -1 1225 2 12582912 -1 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02