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 Hypergeometric2F1

 http://functions.wolfram.com/07.23.03.a8t9.01

 Input Form

 Hypergeometric2F1[-(21/4), 17/4, -(7/2), z] == (1/160) ((1/(1 + Sqrt[z])^(5/2)) (80 + 200 Sqrt[z] + 660 z + 1300 z^(3/2) + 3229 z^2 + 5850 z^(5/2) + 14520 z^3 + 26400 z^(7/2) + 102960 z^4 + 450208 z^(9/2) + 404800 z^5 - 675840 z^(11/2) - 1196800 z^6 - 478720 z^(13/2)) + (1/(1 - Sqrt[z])^(5/2)) (80 - 200 Sqrt[z] + 660 z - 1300 z^(3/2) + 3229 z^2 - 5850 z^(5/2) + 14520 z^3 - 26400 z^(7/2) + 102960 z^4 - 450208 z^(9/2) + 404800 z^5 + 675840 z^(11/2) - 1196800 z^6 + 478720 z^(13/2)))

 Standard Form

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 MathML Form

 2 F 1 ( - 21 4 , 17 4 ; - 7 2 ; z ) TagBox[TagBox[RowBox[List[RowBox[List[SubscriptBox["\[InvisiblePrefixScriptBase]", "2"], SubscriptBox["F", "1"]]], "\[InvisibleApplication]", RowBox[List["(", RowBox[List[TagBox[TagBox[RowBox[List[TagBox[RowBox[List["-", FractionBox["21", "4"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox[FractionBox["17", "4"], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[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["z", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], ")"]]]], InterpretTemplate[Function[HypergeometricPFQ[Slot[1], Slot[2], Slot[3]]]], Rule[Editable, False], Rule[Selectable, False]], HypergeometricPFQ] 1 160 ( 1 ( z + 1 ) 5 / 2 ( - 478720 z 13 / 2 - 1196800 z 6 - 675840 z 11 / 2 + 404800 z 5 + 450208 z 9 / 2 + 102960 z 4 + 26400 z 7 / 2 + 14520 z 3 + 5850 z 5 / 2 + 3229 z 2 + 1300 z 3 / 2 + 660 z + 200 z + 80 ) + 1 ( 1 - z ) 5 / 2 ( 478720 z 13 / 2 - 1196800 z 6 + 675840 z 11 / 2 + 404800 z 5 - 450208 z 9 / 2 + 102960 z 4 - 26400 z 7 / 2 + 14520 z 3 - 5850 z 5 / 2 + 3229 z 2 - 1300 z 3 / 2 + 660 z - 200 z + 80 ) ) HypergeometricPFQ -1 21 4 17 4 -1 7 2 z 1 160 1 z 1 2 1 5 2 -1 -478720 z 13 2 -1 1196800 z 6 -1 675840 z 11 2 404800 z 5 450208 z 9 2 102960 z 4 26400 z 7 2 14520 z 3 5850 z 5 2 3229 z 2 1300 z 3 2 660 z 200 z 1 2 80 1 1 -1 z 1 2 5 2 -1 478720 z 13 2 -1 1196800 z 6 675840 z 11 2 404800 z 5 -1 450208 z 9 2 102960 z 4 -1 26400 z 7 2 14520 z 3 -1 5850 z 5 2 3229 z 2 -1 1300 z 3 2 660 z -1 200 z 1 2 80 [/itex]

 Rule Form

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

 2007-05-02