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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{-(5/2), 1/2, 4}, {3/2, 7/2}, z] == (15 + 155 z + 8337 z^2 - 7105 z^3 + 2310 z^4)/(16384 z^2) + (15 (1 + 10 z - 340 z^2 + 700 z^3 - 525 z^4 + 154 z^5) Log[1 - Sqrt[z]])/ (32768 z^(5/2)) - (15 (1 + 10 z - 340 z^2 + 700 z^3 - 525 z^4 + 154 z^5) Log[1 + Sqrt[z]])/(32768 z^(5/2)) - (375 PolyLog[2, -Sqrt[z]])/ (4096 Sqrt[z]) + (375 PolyLog[2, Sqrt[z]])/(4096 Sqrt[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["5", "2"]]], ",", FractionBox["1", "2"], ",", "4"]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["3", "2"], ",", FractionBox["7", "2"]]], "}"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["15", "+", RowBox[List["155", " ", "z"]], "+", RowBox[List["8337", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["7105", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["2310", " ", SuperscriptBox["z", "4"]]]]], RowBox[List["16384", " ", SuperscriptBox["z", "2"]]]], "+", FractionBox[RowBox[List["15", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["10", " ", "z"]], "-", RowBox[List["340", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["700", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["525", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["154", " ", SuperscriptBox["z", "5"]]]]], ")"]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", SqrtBox["z"]]], "]"]]]], RowBox[List["32768", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]]], "-", FractionBox[RowBox[List["15", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["10", " ", "z"]], "-", RowBox[List["340", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["700", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["525", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["154", " ", SuperscriptBox["z", "5"]]]]], ")"]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", SqrtBox["z"]]], "]"]]]], RowBox[List["32768", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]]], "-", FractionBox[RowBox[List["375", " ", RowBox[List["PolyLog", "[", RowBox[List["2", ",", RowBox[List["-", SqrtBox["z"]]]]], "]"]]]], RowBox[List["4096", " ", SqrtBox["z"]]]], "+", FractionBox[RowBox[List["375", " ", RowBox[List["PolyLog", "[", RowBox[List["2", ",", SqrtBox["z"]]], "]"]]]], RowBox[List["4096", " ", SqrtBox["z"]]]]]]]]]]

 MathML Form

 3 F 2 ( - 5 2 , 1 2 , 4 ; 3 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[FractionBox["1", "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["3", "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] 2310 z 4 - 7105 z 3 + 8337 z 2 + 155 z + 15 16384 z 2 + 15 ( 154 z 5 - 525 z 4 + 700 z 3 - 340 z 2 + 10 z + 1 ) log ( 1 - z ) 32768 z 5 / 2 - 15 ( 154 z 5 - 525 z 4 + 700 z 3 - 340 z 2 + 10 z + 1 ) log ( z + 1 ) 32768 z 5 / 2 - 375 Li PolyLog 2 ( - z ) 4096 z + 375 Li PolyLog 2 ( z ) 4096 z HypergeometricPFQ -1 5 2 1 2 4 3 2 7 2 z 2310 z 4 -1 7105 z 3 8337 z 2 155 z 15 16384 z 2 -1 15 154 z 5 -1 525 z 4 700 z 3 -1 340 z 2 10 z 1 1 -1 z 1 2 32768 z 5 2 -1 -1 15 154 z 5 -1 525 z 4 700 z 3 -1 340 z 2 10 z 1 z 1 2 1 32768 z 5 2 -1 -1 375 PolyLog 2 -1 z 1 2 4096 z 1 2 -1 375 PolyLog 2 z 1 2 4096 z 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HypergeometricPFQ", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["-", FractionBox["5", "2"]]], ",", FractionBox["1", "2"], ",", "4"]], "}"]], ",", RowBox[List["{", RowBox[List[FractionBox["3", "2"], ",", FractionBox["7", "2"]]], "}"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["15", "+", RowBox[List["155", " ", "z"]], "+", RowBox[List["8337", " ", SuperscriptBox["z", "2"]]], "-", RowBox[List["7105", " ", SuperscriptBox["z", "3"]]], "+", RowBox[List["2310", " ", SuperscriptBox["z", "4"]]]]], RowBox[List["16384", " ", SuperscriptBox["z", "2"]]]], "+", FractionBox[RowBox[List["15", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["10", " ", "z"]], "-", RowBox[List["340", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["700", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["525", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["154", " ", SuperscriptBox["z", "5"]]]]], ")"]], " ", RowBox[List["Log", "[", RowBox[List["1", "-", SqrtBox["z"]]], "]"]]]], RowBox[List["32768", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]]], "-", FractionBox[RowBox[List["15", " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["10", " ", "z"]], "-", RowBox[List["340", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["700", " ", SuperscriptBox["z", "3"]]], "-", RowBox[List["525", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["154", " ", SuperscriptBox["z", "5"]]]]], ")"]], " ", RowBox[List["Log", "[", RowBox[List["1", "+", SqrtBox["z"]]], "]"]]]], RowBox[List["32768", " ", SuperscriptBox["z", RowBox[List["5", "/", "2"]]]]]], "-", FractionBox[RowBox[List["375", " ", RowBox[List["PolyLog", "[", RowBox[List["2", ",", RowBox[List["-", SqrtBox["z"]]]]], "]"]]]], RowBox[List["4096", " ", SqrtBox["z"]]]], "+", FractionBox[RowBox[List["375", " ", RowBox[List["PolyLog", "[", RowBox[List["2", ",", SqrtBox["z"]]], "]"]]]], RowBox[List["4096", " ", SqrtBox["z"]]]]]]]]]]

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

 2007-05-02