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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1017.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(7/2)}, {-(3/2), 5/2}, z] == (245 (-z)^(5/2) (35 Pi^2 - 2 Pi^2 z))/4096 - (Sqrt[1 - z] (-15435 - 14452680 z - 145685836 z^2 - 623550688 z^3 + 144457184 z^4))/(15728640 z) - (1/(1048576 (-z)^(3/2))) (7 (-147 + 12250 z + 392000 z^2 + 2352000 z^3 + 4045440 z^4 - 713472 z^5) Log[Sqrt[1 - z] + Sqrt[-z]]) - (735 (35 - 2 z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/2048 + (735 (35 - 2 z) (-z)^(5/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/1024 + (735 (35 - 2 z) (-z)^(5/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/1024 - (735 (35 - 2 z) (-z)^(5/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/1024

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 7 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["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[RowBox[List["-", 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] - 735 ( 35 - 2 z ) log 2 ( 1 - z + - z ) ( - z ) 5 / 2 2048 + 245 ( 35 π 2 - 2 π 2 z ) ( - z ) 5 / 2 4096 + 735 ( 35 - 2 z ) log ( 1 - z + - z ) log ( 1 - z + - z + 1 ) ( - z ) 5 / 2 1024 + 735 ( 35 - 2 z ) Li PolyLog 2 ( - 1 - z - - z ) ( - z ) 5 / 2 1024 - 735 ( 35 - 2 z ) Li PolyLog 2 ( - 1 - z - - z + 1 ) ( - z ) 5 / 2 1024 - 1 - z ( 144457184 z 4 - 623550688 z 3 - 145685836 z 2 - 14452680 z - 15435 ) 15728640 z - 7 ( - 713472 z 5 + 4045440 z 4 + 2352000 z 3 + 392000 z 2 + 12250 z - 147 ) log ( 1 - z + - z ) 1048576 ( - z ) 3 / 2 HypergeometricPFQ -1 7 2 -1 7 2 -1 7 2 -1 3 2 5 2 z -1 735 35 -1 2 z 1 -1 z 1 2 -1 z 1 2 2 -1 z 5 2 2048 -1 245 35 2 -1 2 2 z -1 z 5 2 4096 -1 735 35 -1 2 z 1 -1 z 1 2 -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 -1 z 5 2 1024 -1 735 35 -1 2 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 z 5 2 1024 -1 -1 735 35 -1 2 z PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 -1 z 5 2 1024 -1 -1 1 -1 z 1 2 144457184 z 4 -1 623550688 z 3 -1 145685836 z 2 -1 14452680 z -15435 15728640 z -1 -1 7 -713472 z 5 4045440 z 4 2352000 z 3 392000 z 2 12250 z -147 1 -1 z 1 2 -1 z 1 2 1048576 -1 z 3 2 -1 [/itex]

 Rule Form

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

 2007-05-02