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 JacobiP

 http://functions.wolfram.com/07.15.04.0005.01

 Input Form

 Singularities[JacobiP[\[Nu], a, b, z], z] == {} /; NonTerminatingHypergeometricSeriesQ[{-\[Nu], a + b + \[Nu] + 1}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Singularities", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]", ",", "a", ",", "b", ",", "z"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", "}"]]]], "/;", RowBox[List["NonTerminatingHypergeometricSeriesQ", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Nu]"]], ",", RowBox[List["a", "+", "b", "+", "\[Nu]", "+", "1"]]]], "}"]], "]"]]]]]]

 MathML Form

 𝒮𝒾𝓃ℊ z ( P ν ( a , b ) ( z ) TagBox[RowBox[List[SubsuperscriptBox["P", "\[Nu]", RowBox[List["(", RowBox[List["a", ",", "b"]], ")"]]], "(", "z", ")"]], Fibonacci] ) { } /; 𝒩𝒯 ( { - ν , a + b + ν + 1 } ) Condition Subscript 𝒮𝒾𝓃ℊ z Fibonacci JacobiP ν a b z 𝒩𝒯 -1 ν a b ν 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Singularities", "[", RowBox[List[RowBox[List["JacobiP", "[", RowBox[List["\[Nu]_", ",", "a_", ",", "b_", ",", "z_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["{", "}"]], "/;", RowBox[List["NonTerminatingHypergeometricSeriesQ", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "\[Nu]"]], ",", RowBox[List["a", "+", "b", "+", "\[Nu]", "+", "1"]]]], "}"]], "]"]]]]]]]]

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

 2001-10-29