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 HypergeometricPFQ

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

 Input Form

 HypergeometricPFQ[{5/2, 4, 4}, {-(7/2), -(7/2)}, -z] == (1/(12544 (1 + z)^17)) (12544 + 172288 z + 1296384 z^2 + 952320 z^3 + 1778519040 z^4 - 553433266176 z^5 + 15051627967488 z^6 - 112579709698176 z^7 + 315264173579520 z^8 - 370795806516200 z^9 + 187163046258760 z^10 - 38294677232955 z^11 + 2669644957980 z^12 - 39249270060 z^13) + (6435 (-732160 z^(9/2) + 54512640 z^(11/2) - 797086080 z^(13/2) + 3939152896 z^(15/2) - 7980509880 z^(17/2) + 7115963400 z^(19/2) - 2786008225 z^(21/2) + 443821950 z^(23/2) - 23567544 z^(25/2) + 240240 z^(27/2)) ArcSinh[Sqrt[z]])/ (1792 Sqrt[1 + z] (1 + 17 z + 136 z^2 + 680 z^3 + 2380 z^4 + 6188 z^5 + 12376 z^6 + 19448 z^7 + 24310 z^8 + 24310 z^9 + 19448 z^10 + 12376 z^11 + 6188 z^12 + 2380 z^13 + 680 z^14 + 136 z^15 + 17 z^16 + z^17))

 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[RowBox[List["-", 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 12544 ( z + 1 ) 17 ( - 39249270060 z 13 + 2669644957980 z 12 - 38294677232955 z 11 + 187163046258760 z 10 - 370795806516200 z 9 + 315264173579520 z 8 - 112579709698176 z 7 + 15051627967488 z 6 - 553433266176 z 5 + 1778519040 z 4 + 952320 z 3 + 1296384 z 2 + 172288 z + 12544 ) + ( 6435 ( 240240 z 27 / 2 - 23567544 z 25 / 2 + 443821950 z 23 / 2 - 2786008225 z 21 / 2 + 7115963400 z 19 / 2 - 7980509880 z 17 / 2 + 3939152896 z 15 / 2 - 797086080 z 13 / 2 + 54512640 z 11 / 2 - 732160 z 9 / 2 ) sinh - 1 ( z ) ) / ( 1792 z + 1 ( z 17 + 17 z 16 + 136 z 15 + 680 z 14 + 2380 z 13 + 6188 z 12 + 12376 z 11 + 19448 z 10 + 24310 z 9 + 24310 z 8 + 19448 z 7 + 12376 z 6 + 6188 z 5 + 2380 z 4 + 680 z 3 + 136 z 2 + 17 z + 1 ) ) HypergeometricPFQ 5 2 4 4 -1 7 2 -1 7 2 -1 z 1 12544 z 1 17 -1 -39249270060 z 13 2669644957980 z 12 -1 38294677232955 z 11 187163046258760 z 10 -1 370795806516200 z 9 315264173579520 z 8 -1 112579709698176 z 7 15051627967488 z 6 -1 553433266176 z 5 1778519040 z 4 952320 z 3 1296384 z 2 172288 z 12544 6435 240240 z 27 2 -1 23567544 z 25 2 443821950 z 23 2 -1 2786008225 z 21 2 7115963400 z 19 2 -1 7980509880 z 17 2 3939152896 z 15 2 -1 797086080 z 13 2 54512640 z 11 2 -1 732160 z 9 2 z 1 2 1792 z 1 1 2 z 17 17 z 16 136 z 15 680 z 14 2380 z 13 6188 z 12 12376 z 11 19448 z 10 24310 z 9 24310 z 8 19448 z 7 12376 z 6 6188 z 5 2380 z 4 680 z 3 136 z 2 17 z 1 -1 [/itex]

 Rule Form

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

 2007-05-02