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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{5/2, 4, 4}, {-(7/2), 7/2}, -z] == (1/(5376 z^2 (1 + z)^10)) (-15360 - 151040 z - 661376 z^2 - 1667520 z^3 - 2478120 z^4 - 880260 z^5 + 17281155 z^6 - 46534696 z^7 + 9387860 z^8) - (5 (-1024 - 10752 z - 51072 z^2 - 144704 z^3 - 271320 z^4 - 352716 z^5 - 323323 z^6 + 2092662 z^7 - 2378376 z^8 + 240240 z^9) ArcSinh[Sqrt[z]])/ (1792 Sqrt[1 + z] (z^(5/2) + 10 z^(7/2) + 45 z^(9/2) + 120 z^(11/2) + 210 z^(13/2) + 252 z^(15/2) + 210 z^(17/2) + 120 z^(19/2) + 45 z^(21/2) + 10 z^(23/2) + z^(25/2)))

 Standard Form

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 MathML Form

 3 F 2 ( 5 2 , 4 , 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[FractionBox["5", "2"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["4", 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[RowBox[List["-", 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[RowBox[List["-", "z"]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 1 5376 z 2 ( z + 1 ) 10 ( 9387860 z 8 - 46534696 z 7 + 17281155 z 6 - 880260 z 5 - 2478120 z 4 - 1667520 z 3 - 661376 z 2 - 151040 z - 15360 ) - ( 5 ( 240240 z 9 - 2378376 z 8 + 2092662 z 7 - 323323 z 6 - 352716 z 5 - 271320 z 4 - 144704 z 3 - 51072 z 2 - 10752 z - 1024 ) sinh - 1 ( z ) ) / ( 1792 z + 1 ( z 25 / 2 + 10 z 23 / 2 + 45 z 21 / 2 + 120 z 19 / 2 + 210 z 17 / 2 + 252 z 15 / 2 + 210 z 13 / 2 + 120 z 11 / 2 + 45 z 9 / 2 + 10 z 7 / 2 + z 5 / 2 ) ) HypergeometricPFQ 5 2 4 4 -1 7 2 7 2 -1 z 1 5376 z 2 z 1 10 -1 9387860 z 8 -1 46534696 z 7 17281155 z 6 -1 880260 z 5 -1 2478120 z 4 -1 1667520 z 3 -1 661376 z 2 -1 151040 z -15360 -1 5 240240 z 9 -1 2378376 z 8 2092662 z 7 -1 323323 z 6 -1 352716 z 5 -1 271320 z 4 -1 144704 z 3 -1 51072 z 2 -1 10752 z -1024 z 1 2 1792 z 1 1 2 z 25 2 10 z 23 2 45 z 21 2 120 z 19 2 210 z 17 2 252 z 15 2 210 z 13 2 120 z 11 2 45 z 9 2 10 z 7 2 z 5 2 -1 [/itex]

 Rule Form

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

 2007-05-02