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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{3/2, 3, 3}, {7/2, 7/2}, -z] == (225 (-6 Pi^2 + 4 Sqrt[z] + Pi^2 z))/(1024 z^(5/2)) - (225 (6 + 19 z - 10 z^2 + 16 z^3 + 9 z^4) Log[1 + Sqrt[z] - Sqrt[1 + z]])/ (256 z^2 (1 + z)^(7/2)) + (225 (6 + 19 z - 10 z^2 + 16 z^3 + 9 z^4) Log[1 - Sqrt[z] + Sqrt[1 + z]])/(256 z^2 (1 + z)^(7/2)) + (225 (5 + z) Log[Sqrt[z] + Sqrt[1 + z]])/(256 z^(5/2) Sqrt[1 + z]) + (225 (6 + 19 z - 10 z^2 + 16 z^3 + 9 z^4) Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])])/ (256 z^2 (1 + z)^(7/2)) + (225 (-6 + z) Log[Sqrt[z] + Sqrt[1 + z]] Log[(-1 + Sqrt[z] + Sqrt[1 + z])/(1 + Sqrt[z] + Sqrt[1 + z])])/ (256 z^(5/2)) + (225 (-6 + z) PolyLog[2, -(1/(Sqrt[z] + Sqrt[1 + z]))])/ (256 z^(5/2)) - (225 (-6 + z) PolyLog[2, 1/(Sqrt[z] + Sqrt[1 + z])])/ (256 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( 3 2 , 3 , 3 ; 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[FractionBox["3", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["3", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["3", 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[RowBox[List["-", "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 ( π 2 z + 4 z - 6 π 2 ) 1024 z 5 / 2 - 225 ( 9 z 4 + 16 z 3 - 10 z 2 + 19 z + 6 ) log ( z - z + 1 + 1 ) 256 z 2 ( z + 1 ) 7 / 2 + 225 ( 9 z 4 + 16 z 3 - 10 z 2 + 19 z + 6 ) log ( - z + z + 1 + 1 ) 256 z 2 ( z + 1 ) 7 / 2 + 225 ( z + 5 ) log ( z + z + 1 ) 256 z 5 / 2 z + 1 + 225 ( 9 z 4 + 16 z 3 - 10 z 2 + 19 z + 6 ) log ( z + z + 1 - 1 z + z + 1 + 1 ) 256 z 2 ( z + 1 ) 7 / 2 + 225 ( z - 6 ) log ( z + z + 1 ) log ( z + z + 1 - 1 z + z + 1 + 1 ) 256 z 5 / 2 + 225 ( z - 6 ) Li PolyLog 2 ( - 1 z + z + 1 ) 256 z 5 / 2 - 225 ( z - 6 ) Li PolyLog 2 ( 1 z + z + 1 ) 256 z 5 / 2 HypergeometricPFQ 3 2 3 3 7 2 7 2 -1 z 225 2 z 4 z 1 2 -1 6 2 1024 z 5 2 -1 -1 225 9 z 4 16 z 3 -1 10 z 2 19 z 6 z 1 2 -1 z 1 1 2 1 256 z 2 z 1 7 2 -1 225 9 z 4 16 z 3 -1 10 z 2 19 z 6 -1 z 1 2 z 1 1 2 1 256 z 2 z 1 7 2 -1 225 z 5 z 1 2 z 1 1 2 256 z 5 2 z 1 1 2 -1 225 9 z 4 16 z 3 -1 10 z 2 19 z 6 z 1 2 z 1 1 2 -1 z 1 2 z 1 1 2 1 -1 256 z 2 z 1 7 2 -1 225 z -6 z 1 2 z 1 1 2 z 1 2 z 1 1 2 -1 z 1 2 z 1 1 2 1 -1 256 z 5 2 -1 225 z -6 PolyLog 2 -1 1 z 1 2 z 1 1 2 -1 256 z 5 2 -1 -1 225 z -6 PolyLog 2 1 z 1 2 z 1 1 2 -1 256 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02