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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.a8o8.01

 Input Form

 HypergeometricPFQ[{-(5/2), -(3/2), -(3/2)}, {1/2, 7/2}, z] == (75 Sqrt[-z] (3 Pi^2 - Pi^2 z))/2048 + (Sqrt[1 - z] (-45 + 1170 z + 481864 z^2 - 875248 z^3 + 2304 z^4))/ (524288 z^2) - (15 (-3 + 80 z - 2880 z^2 - 7680 z^3 + 36480 z^4) Log[Sqrt[1 - z] + Sqrt[-z]])/(524288 (-z)^(5/2)) - (225 (3 - z) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]]^2)/1024 + (225/512) (3 - z) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]] + (225/512) (3 - z) Sqrt[-z] PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]] - (225/512) (3 - z) Sqrt[-z] PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]]

 Standard Form

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 MathML Form

 3 F 2 ( - 5 2 , - 3 2 , - 3 2 ; 1 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["5", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[RowBox[List["-", FractionBox["3", "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["1", "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] - 225 ( 3 - z ) - z log 2 ( 1 - z + - z ) 1024 - 15 ( 36480 z 4 - 7680 z 3 - 2880 z 2 + 80 z - 3 ) log ( 1 - z + - z ) 524288 ( - z ) 5 / 2 + 225 512 ( 3 - z ) - z log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) + 75 - z ( 3 π 2 - π 2 z ) 2048 + 1 - z ( 2304 z 4 - 875248 z 3 + 481864 z 2 + 1170 z - 45 ) 524288 z 2 + 225 512 ( 3 - z ) - z Li PolyLog 2 ( - 1 - z - - z ) - 225 512 ( 3 - z ) - z Li PolyLog 2 ( - 1 - z - - z + 1 ) HypergeometricPFQ -1 5 2 -1 3 2 -1 3 2 1 2 7 2 z -1 225 3 -1 z -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 1024 -1 -1 15 36480 z 4 -1 7680 z 3 -1 2880 z 2 80 z -3 1 -1 z 1 2 -1 z 1 2 524288 -1 z 5 2 -1 225 512 3 -1 z -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 75 -1 z 1 2 3 2 -1 2 z 2048 -1 1 -1 z 1 2 2304 z 4 -1 875248 z 3 481864 z 2 1170 z -45 524288 z 2 -1 225 512 3 -1 z -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 -1 225 512 3 -1 z -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 [/itex]

 Rule Form

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

 2007-05-02