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 JacobiP

 http://functions.wolfram.com/05.06.06.0018.01

 Input Form

 JacobiP[n, a, b, z] \[Proportional] (Pochhammer[1 + a + b + n, n]/(2^n n!)) z^n (1 + O[1/z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["n", ",", "a", ",", "b", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[FractionBox[RowBox[List[SuperscriptBox["2", RowBox[List["-", "n"]]], RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "+", "a", "+", "b", "+", "n"]], ",", "n"]], "]"]]]], RowBox[List["n", "!"]]], SuperscriptBox["z", "n"], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]], ")"]]]]]]]]

 MathML Form

 P n ( a , b ) ( z ) 2 - n ( a + b + n + 1 ) n TagBox[SubscriptBox[RowBox[List["(", RowBox[List["a", "+", "b", "+", "n", "+", "1"]], ")"]], "n"], Pochhammer] z n n ! ( 1 + O ( 1 z ) ) Proportional JacobiP n a b z 2 -1 n Pochhammer a b n 1 n z n n -1 1 O 1 z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiP", "[", RowBox[List["n_", ",", "a_", ",", "b_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["2", RowBox[List["-", "n"]]], " ", RowBox[List["Pochhammer", "[", RowBox[List[RowBox[List["1", "+", "a", "+", "b", "+", "n"]], ",", "n"]], "]"]]]], ")"]], " ", SuperscriptBox["z", "n"], " ", RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", FractionBox["1", "z"], "]"]]]], ")"]]]], RowBox[List["n", "!"]]]]]]]

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

 2001-10-29