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 JacobiP

 http://functions.wolfram.com/07.15.20.0004.01

 Input Form

 D[JacobiP[\[Nu], a, b, z], z] == ((1 + a + b + \[Nu])/2) JacobiP[\[Nu] - 1, 1 + a, 1 + b, z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "z"], RowBox[List["JacobiP", "[", RowBox[List["\[Nu]", ",", "a", ",", "b", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["1", "+", "a", "+", "b", "+", "\[Nu]"]], "2"], RowBox[List["JacobiP", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", RowBox[List["1", "+", "a"]], ",", RowBox[List["1", "+", "b"]], ",", "z"]], "]"]]]]]]]]

 MathML Form

 P ν ( a , b ) ( z ) z a + b + ν + 1 2 P ν - 1 ( a + 1 , b + 1 ) ( z ) z JacobiP ν a b z a b ν 1 2 -1 JacobiP ν -1 a 1 b 1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["z_"]]], RowBox[List["JacobiP", "[", RowBox[List["\[Nu]_", ",", "a_", ",", "b_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["1", "+", "a", "+", "b", "+", "\[Nu]"]], ")"]], " ", RowBox[List["JacobiP", "[", RowBox[List[RowBox[List["\[Nu]", "-", "1"]], ",", RowBox[List["1", "+", "a"]], ",", RowBox[List["1", "+", "b"]], ",", "z"]], "]"]]]]]]]]

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

 2001-10-29