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 PolyGamma

 http://functions.wolfram.com/06.15.03.0025.01

 Input Form

 PolyGamma[\[Nu], -n] == Indeterminate /; Re[\[Nu]] == -1 && Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyGamma", "[", RowBox[List["\[Nu]", ",", RowBox[List["-", "n"]]]], "]"]], "\[Equal]", "Indeterminate"]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], "\[Equal]", RowBox[List["-", "1"]]]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 ψ TagBox["\[Psi]", PolyGamma] ( ν ) ( - n ) ¿ /; Re ( ν ) - 1 n TagBox["\[DoubleStruckCapitalN]", Function[Integers]] Condition PolyGamma ν -1 n ¿ ν -1 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyGamma", "[", RowBox[List["\[Nu]_", ",", RowBox[List["-", "n_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Indeterminate", "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "\[Nu]", "]"]], "\[Equal]", RowBox[List["-", "1"]]]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2007-05-02