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; }

 GegenbauerC

 http://functions.wolfram.com/07.14.20.0003.01

 Input Form

 D[GegenbauerC[\[Nu], \[Lambda], z], z] == 2 \[Lambda] GegenbauerC[\[Nu] - 1, 1 + \[Lambda], z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]", ",", "\[Lambda]", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List["2", " ", "\[Lambda]", " ", RowBox[List["GegenbauerC", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", RowBox[List["1", "+", "\[Lambda]"]], ",", "z"]], "]"]]]]]]]]

 MathML Form

 C ν λ ( z ) z 2 λ C ν - 1 λ + 1 ( z ) z Subscript C ν λ z 2 λ Subscript C ν -1 λ 1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["GegenbauerC", "[", RowBox[List["\[Nu]_", ",", "\[Lambda]_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", "\[Lambda]", " ", RowBox[List["GegenbauerC", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", RowBox[List["1", "+", "\[Lambda]"]], ",", "z"]], "]"]]]]]]]]

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

 2001-10-29