html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Hypergeometric2F1

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

 Input Form

 Hypergeometric2F1[-(3/5), 5, 12/5, -z] == (1/312500) (7 (-((125 (44 + 39 z))/(1 + z)^2) - (1/z^(2/5)) (5616 (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])) + (1/z^(7/5)) (156 (5 z^(2/5) + 2 Log[1 + z^(1/5)] - 2 (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - 2 (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + 2 (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + 2 (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)])) - 21528 (-(5/3) + z^(3/5) (Log[1 + z^(1/5)] - (-1)^(3/5) Log[1 - (-1)^(1/5) z^(1/5)] - (-1)^(1/5) Log[1 + (-1)^(2/5) z^(1/5)] + (-1)^(4/5) Log[1 - (-1)^(3/5) z^(1/5)] + (-1)^(2/5) Log[1 + (-1)^(4/5) z^(1/5)]))))

 Standard Form

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 MathML Form

 2 F 1 ( - 3 5 , 5 ; 12 5 ; - 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["3", "5"]]], HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]], ",", TagBox["5", HypergeometricPFQ, Rule[Editable, True], Rule[Selectable, True]]]], InterpretTemplate[Function[List[SlotSequence[1]]]]], HypergeometricPFQ, Rule[Editable, False], Rule[Selectable, False]], ";", TagBox[TagBox[TagBox[FractionBox["12", "5"], 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 312500 ( 7 ( - 125 ( 39 z + 44 ) ( z + 1 ) 2 - 1 z 2 / 5 ( 5616 ( log ( z 5 + 1 ) - ( - 1 ) 3 / 5 log ( 1 - - 1 5 z 5 ) - - 1 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) + ( - 1 ) 2 / 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) ) ) + 1 z 7 / 5 ( 156 ( 2 log ( z 5 + 1 ) - 2 ( - 1 ) 3 / 5 log ( 1 - - 1 5 z 5 ) - 2 - 1 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) + 2 ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) + 2 ( - 1 ) 2 / 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) + 5 z 2 / 5 ) ) - 21528 ( z 3 / 5 ( log ( z 5 + 1 ) - ( - 1 ) 3 / 5 log ( 1 - - 1 5 z 5 ) - - 1 5 log ( ( - 1 ) 2 / 5 z 5 + 1 ) + ( - 1 ) 4 / 5 log ( 1 - ( - 1 ) 3 / 5 z 5 ) + ( - 1 ) 2 / 5 log ( ( - 1 ) 4 / 5 z 5 + 1 ) ) - 5 3 ) ) ) HypergeometricPFQ -1 3 5 5 12 5 -1 z 1 312500 7 -1 125 39 z 44 z 1 2 -1 -1 1 z 2 5 -1 5616 z 1 5 1 -1 -1 3 5 1 -1 -1 1 5 z 1 5 -1 -1 1 5 -1 2 5 z 1 5 1 -1 4 5 1 -1 -1 3 5 z 1 5 -1 2 5 -1 4 5 z 1 5 1 1 z 7 5 -1 156 2 z 1 5 1 -1 2 -1 3 5 1 -1 -1 1 5 z 1 5 -1 2 -1 1 5 -1 2 5 z 1 5 1 2 -1 4 5 1 -1 -1 3 5 z 1 5 2 -1 2 5 -1 4 5 z 1 5 1 5 z 2 5 -1 21528 z 3 5 z 1 5 1 -1 -1 3 5 1 -1 -1 1 5 z 1 5 -1 -1 1 5 -1 2 5 z 1 5 1 -1 4 5 1 -1 -1 3 5 z 1 5 -1 2 5 -1 4 5 z 1 5 1 -1 5 3 [/itex]

 Rule Form

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

 2007-05-02