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 HypergeometricPFQ

 http://functions.wolfram.com/07.27.03.9179.01

 Input Form

 HypergeometricPFQ[{-(7/2), 5/2, 4}, {7/2, 7/2}, z] == (-7945 - 14315 z + 309349 z^2 - 662865 z^3 + 532070 z^4 - 150150 z^5)/ (393216 z^2) - (35 (107 + 360 z + 2250 z^2 - 14000 z^3 + 23625 z^4 - 16632 z^5 + 4290 z^6) Log[1 - Sqrt[z]])/(786432 z^(5/2)) + (35 (107 + 360 z + 2250 z^2 - 14000 z^3 + 23625 z^4 - 16632 z^5 + 4290 z^6) Log[1 + Sqrt[z]])/(786432 z^(5/2)) - (175 PolyLog[2, -Sqrt[z]])/ (32768 z^(5/2)) + (175 PolyLog[2, Sqrt[z]])/(32768 z^(5/2))

 Standard Form

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 MathML Form

 3 F 2 ( - 7 2 , 5 2 , 4 ; 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[RowBox[List["-", FractionBox["7", "2"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", 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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] - 150150 z 5 + 532070 z 4 - 662865 z 3 + 309349 z 2 - 14315 z - 7945 393216 z 2 - 35 ( 4290 z 6 - 16632 z 5 + 23625 z 4 - 14000 z 3 + 2250 z 2 + 360 z + 107 ) log ( 1 - z ) 786432 z 5 / 2 + 35 ( 4290 z 6 - 16632 z 5 + 23625 z 4 - 14000 z 3 + 2250 z 2 + 360 z + 107 ) log ( z + 1 ) 786432 z 5 / 2 - 175 Li PolyLog 2 ( - z ) 32768 z 5 / 2 + 175 Li PolyLog 2 ( z ) 32768 z 5 / 2 HypergeometricPFQ -1 7 2 5 2 4 7 2 7 2 z -150150 z 5 532070 z 4 -1 662865 z 3 309349 z 2 -1 14315 z -7945 393216 z 2 -1 -1 35 4290 z 6 -1 16632 z 5 23625 z 4 -1 14000 z 3 2250 z 2 360 z 107 1 -1 z 1 2 786432 z 5 2 -1 35 4290 z 6 -1 16632 z 5 23625 z 4 -1 14000 z 3 2250 z 2 360 z 107 z 1 2 1 786432 z 5 2 -1 -1 175 PolyLog 2 -1 z 1 2 32768 z 5 2 -1 175 PolyLog 2 z 1 2 32768 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02