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 JacobiP

 http://functions.wolfram.com/05.06.17.0005.01

 Input Form

 JacobiP[n, a, b - 1, z] - JacobiP[n, a - 1, b, z] == JacobiP[n - 1, a, b, z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["n", ",", "a", ",", RowBox[List["b", "-", "1"]], ",", "z"]], "]"]], "-", RowBox[List["JacobiP", "[", RowBox[List["n", ",", RowBox[List["a", "-", "1"]], ",", "b", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List["JacobiP", "[", RowBox[List[RowBox[List["n", "-", "1"]], ",", "a", ",", "b", ",", "z"]], "]"]]]]]]

 MathML Form

 P n ( a , b - 1 ) ( z ) - P n ( a - 1 , b ) ( z ) P n - 1 ( a , b ) ( z ) JacobiP n a b -1 z -1 JacobiP n a -1 b z JacobiP n -1 a b z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["n_", ",", "a_", ",", RowBox[List["b_", "-", "1"]], ",", "z_"]], "]"]], "-", RowBox[List["JacobiP", "[", RowBox[List["n_", ",", RowBox[List["a_", "-", "1"]], ",", "b_", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["JacobiP", "[", RowBox[List[RowBox[List["n", "-", "1"]], ",", "a", ",", "b", ",", "z"]], "]"]]]]]]

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

 2001-10-29