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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1026.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {1/2, 5/2}, z] == (245 Sqrt[-z] (175 Pi^2 - 1050 Pi^2 z + 420 Pi^2 z^2 - 8 Pi^2 z^3))/131072 - (Sqrt[1 - z] (-15435 - 121980660 z + 3267748524 z^2 - 3431613568 z^3 + 178650784 z^4))/(125829120 z) - (1/(8388608 (-z)^(3/2))) (7 (-147 + 36750 z - 4704000 z^2 - 14112000 z^3 + 20603520 z^4 - 803072 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) - (735 Sqrt[-z] (175 - 1050 z + 420 z^2 - 8 z^3) Log[Sqrt[1 - z] + Sqrt[-z]]^ 2)/65536 + (735 Sqrt[-z] (175 - 1050 z + 420 z^2 - 8 z^3) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/32768 + (735 Sqrt[-z] (175 - 1050 z + 420 z^2 - 8 z^3) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/32768 - (735 Sqrt[-z] (175 - 1050 z + 420 z^2 - 8 z^3) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/32768

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 7 2 ; 1 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["7", "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["1", "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] - 735 - z ( - 8 z 3 + 420 z 2 - 1050 z + 175 ) log 2 ( 1 - z + - z ) 65536 - 1 8388608 ( - z ) 3 / 2 7 ( - 803072 z 5 + 20603520 z 4 - 14112000 z 3 - 4704000 z 2 + 36750 z - 147 ) log ( 1 - z + - z ) + 735 - z ( - 8 z 3 + 420 z 2 - 1050 z + 175 ) log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 32768 + 245 - z ( - 8 π 2 z 3 + 420 π 2 z 2 - 1050 π 2 z + 175 π 2 ) 131072 - 1 - z ( 178650784 z 4 - 3431613568 z 3 + 3267748524 z 2 - 121980660 z - 15435 ) 125829120 z + 735 - z ( - 8 z 3 + 420 z 2 - 1050 z + 175 ) Li PolyLog 2 ( - 1 - z - - z ) 32768 - 735 - z ( - 8 z 3 + 420 z 2 - 1050 z + 175 ) Li PolyLog 2 ( - 1 - z - - z + 1 ) 32768 HypergeometricPFQ -1 7 2 -1 7 2 -1 7 2 1 2 5 2 z -1 735 -1 z 1 2 -8 z 3 420 z 2 -1 1050 z 175 1 -1 z 1 2 -1 z 1 2 2 65536 -1 -1 1 8388608 -1 z 3 2 -1 7 -803072 z 5 20603520 z 4 -1 14112000 z 3 -1 4704000 z 2 36750 z -147 1 -1 z 1 2 -1 z 1 2 735 -1 z 1 2 -8 z 3 420 z 2 -1 1050 z 175 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 32768 -1 245 -1 z 1 2 -8 2 z 3 420 2 z 2 -1 1050 2 z 175 2 131072 -1 -1 1 -1 z 1 2 178650784 z 4 -1 3431613568 z 3 3267748524 z 2 -1 121980660 z -15435 125829120 z -1 735 -1 z 1 2 -8 z 3 420 z 2 -1 1050 z 175 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 32768 -1 -1 735 -1 z 1 2 -8 z 3 420 z 2 -1 1050 z 175 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 32768 -1 [/itex]

 Rule Form

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

 2007-05-02