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 PolyGamma

 http://functions.wolfram.com/06.14.06.0027.01

 Input Form

 PolyGamma[-n + \[Epsilon]] \[Proportional] (-(1/\[Epsilon])) (1 + O[\[Epsilon]]) /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["PolyGamma", "[", RowBox[List[RowBox[List["-", "n"]], "+", "\[Epsilon]"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List["-", FractionBox["1", "\[Epsilon]"]]], RowBox[List["(", RowBox[List["1", "+", RowBox[List["O", "[", "\[Epsilon]", "]"]]]], ")"]]]]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 ψ TagBox["\[Psi]", PolyGamma] ( - n + ϵ ) - 1 ϵ ( 1 + O ( ϵ ) ) /; n Condition Proportional PolyGamma -1 n ϵ -1 1 ϵ -1 1 O ϵ n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["PolyGamma", "[", RowBox[List[RowBox[List["-", "n_"]], "+", "\[Epsilon]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", FractionBox[RowBox[List["1", "+", RowBox[List["O", "[", "\[Epsilon]", "]"]]]], "\[Epsilon]"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2007-05-02