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; }

 Zeta

 http://functions.wolfram.com/10.01.20.0023.01

 Input Form

 Derivative[1][Zeta][1/2] == (1/4) (Pi + 2 EulerGamma + 6 Log[2] + 2 Log[Pi]) Zeta[1/2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", FractionBox["1", "2"], "]"]], "\[Equal]", RowBox[List[FractionBox["1", "4"], RowBox[List["(", RowBox[List["\[Pi]", "+", RowBox[List["2", "EulerGamma"]], "+", RowBox[List["6", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List["2", RowBox[List["Log", "[", "\[Pi]", "]"]]]]]], ")"]], RowBox[List["Zeta", "[", FractionBox["1", "2"], "]"]]]]]]]]

 MathML Form

 ζ ( 1 2 ) 1 4 ( 6 log ( 2 ) + 2 log ( π ) + π + 2 TagBox["\[DoubledGamma]", Function[List[], EulerGamma]] ) ζ ( 1 2 ) TagBox[RowBox[List["\[Zeta]", "(", TagBox[FractionBox["1", "2"], Zeta, Rule[Editable, True]], ")"]], InterpretTemplate[Function[BoxForm`e\$, Zeta[BoxForm`e\$]]]] D Zeta 1 2 1 2 1 4 6 2 2 2 Zeta 1 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["Zeta", "\[Prime]", Rule[MultilineFunction, None]], "[", FractionBox["1", "2"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "4"], " ", RowBox[List["(", RowBox[List["\[Pi]", "+", RowBox[List["2", " ", "EulerGamma"]], "+", RowBox[List["6", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List["2", " ", RowBox[List["Log", "[", "\[Pi]", "]"]]]]]], ")"]], " ", RowBox[List["Zeta", "[", FractionBox["1", "2"], "]"]]]]]]]]

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

 2007-05-02