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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1190.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(3/2)}, {1/2, 7/2}, z] == (6125 Sqrt[-z] (2 Pi^2 - 3 Pi^2 z))/65536 + (Sqrt[1 - z] (-735 + 34790 z + 47708776 z^2 - 345126000 z^3 + 33155712 z^4 + 713472 z^5))/(50331648 z^2) + (1/(16777216 (-z)^(5/2))) (35 (7 - 336 z + 25200 z^2 - 448000 z^3 - 2217600 z^4 + 129024 z^5 + 2048 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) - (18375 (2 - 3 z) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]]^2)/32768 + (18375 (2 - 3 z) Sqrt[-z] Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/16384 + (18375 (2 - 3 z) Sqrt[-z] PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/16384 - (18375 (2 - 3 z) Sqrt[-z] PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/16384

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 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["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["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] - 18375 ( 2 - 3 z ) - z log 2 ( 1 - z + - z ) 32768 + 35 ( 2048 z 6 + 129024 z 5 - 2217600 z 4 - 448000 z 3 + 25200 z 2 - 336 z + 7 ) log ( 1 - z + - z ) 16777216 ( - z ) 5 / 2 + 18375 ( 2 - 3 z ) - z log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 16384 + 6125 - z ( 2 π 2 - 3 π 2 z ) 65536 + 1 - z ( 713472 z 5 + 33155712 z 4 - 345126000 z 3 + 47708776 z 2 + 34790 z - 735 ) 50331648 z 2 + 18375 ( 2 - 3 z ) - z Li PolyLog 2 ( - 1 - z - - z ) 16384 - 18375 ( 2 - 3 z ) - z Li PolyLog 2 ( - 1 - z - - z + 1 ) 16384 HypergeometricPFQ -1 7 2 -1 7 2 -1 3 2 1 2 7 2 z -1 18375 2 -1 3 z -1 z 1 2 1 -1 z 1 2 -1 z 1 2 2 32768 -1 35 2048 z 6 129024 z 5 -1 2217600 z 4 -1 448000 z 3 25200 z 2 -1 336 z 7 1 -1 z 1 2 -1 z 1 2 16777216 -1 z 5 2 -1 18375 2 -1 3 z -1 z 1 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 16384 -1 6125 -1 z 1 2 2 2 -1 3 2 z 65536 -1 1 -1 z 1 2 713472 z 5 33155712 z 4 -1 345126000 z 3 47708776 z 2 34790 z -735 50331648 z 2 -1 18375 2 -1 3 z -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 16384 -1 -1 18375 2 -1 3 z -1 z 1 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 1 16384 -1 [/itex]

 Rule Form

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

 2007-05-02