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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.1098.01

 Input Form

 HypergeometricPFQ[{-(7/2), -(7/2), -(5/2)}, {-(1/2), 7/2}, z] == -((3675 (-z)^(3/2) (25 Pi^2 - 8 Pi^2 z))/65536) + (1/(16777216 z^2)) (Sqrt[1 - z] (-735 + 28910 z + 15326424 z^2 + 253985232 z^3 - 314308096 z^4 + 3925760 z^5)) + (1/(16777216 (-z)^(5/2))) (105 (7 - 280 z + 14000 z^2 + 448000 z^3 + 1008000 z^4 - 1870848 z^5 + 10240 z^6) Log[Sqrt[1 - z] + Sqrt[-z]]) + (11025 (25 - 8 z) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]]^2)/32768 - (11025 (25 - 8 z) (-z)^(3/2) Log[Sqrt[1 - z] + Sqrt[-z]] Log[1 + Sqrt[1 - z] + Sqrt[-z]])/16384 - (11025 (25 - 8 z) (-z)^(3/2) PolyLog[2, -Sqrt[1 - z] - Sqrt[-z]])/16384 + (11025 (25 - 8 z) (-z)^(3/2) PolyLog[2, 1 - Sqrt[1 - z] - Sqrt[-z]])/16384

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , - 7 2 , - 5 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["5", "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["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] 11025 ( 25 - 8 z ) ( - z ) 3 / 2 log 2 ( 1 - z + - z ) 32768 + 1 16777216 ( - z ) 5 / 2 105 ( 10240 z 6 - 1870848 z 5 + 1008000 z 4 + 448000 z 3 + 14000 z 2 - 280 z + 7 ) log ( 1 - z + - z ) - 11025 ( 25 - 8 z ) ( - z ) 3 / 2 log ( 1 - z + - z + 1 ) log ( 1 - z + - z ) 16384 - 3675 ( - z ) 3 / 2 ( 25 π 2 - 8 π 2 z ) 65536 + 1 - z ( 3925760 z 5 - 314308096 z 4 + 253985232 z 3 + 15326424 z 2 + 28910 z - 735 ) 16777216 z 2 - 11025 ( 25 - 8 z ) ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z ) 16384 + 11025 ( 25 - 8 z ) ( - z ) 3 / 2 Li PolyLog 2 ( - 1 - z - - z + 1 ) 16384 HypergeometricPFQ -1 7 2 -1 7 2 -1 5 2 -1 1 2 7 2 z 11025 25 -1 8 z -1 z 3 2 1 -1 z 1 2 -1 z 1 2 2 32768 -1 1 16777216 -1 z 5 2 -1 105 10240 z 6 -1 1870848 z 5 1008000 z 4 448000 z 3 14000 z 2 -1 280 z 7 1 -1 z 1 2 -1 z 1 2 -1 11025 25 -1 8 z -1 z 3 2 1 -1 z 1 2 -1 z 1 2 1 1 -1 z 1 2 -1 z 1 2 16384 -1 -1 3675 -1 z 3 2 25 2 -1 8 2 z 65536 -1 1 -1 z 1 2 3925760 z 5 -1 314308096 z 4 253985232 z 3 15326424 z 2 28910 z -735 16777216 z 2 -1 -1 11025 25 -1 8 z -1 z 3 2 PolyLog 2 -1 1 -1 z 1 2 -1 -1 z 1 2 16384 -1 11025 25 -1 8 z -1 z 3 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