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 Hypergeometric1F1

 http://functions.wolfram.com/07.20.04.0004.01

 Input Form

 Singularities[Hypergeometric1F1[a, b, z], z] == {{ComplexInfinity, -a}} /; Element[-a, Integers] && -a > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Singularities", "[", RowBox[List[RowBox[List["Hypergeometric1F1", "[", RowBox[List["a", ",", "b", ",", "z"]], "]"]], ",", "z"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["{", RowBox[List["ComplexInfinity", ",", RowBox[List["-", "a"]]]], "}"]], "}"]]]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "a"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List["-", "a"]], ">", "0"]]]]]]]]

 MathML Form

 𝒮𝒾𝓃ℊ z ( 1 F 1 ( a TagBox[TagBox[TagBox["a", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]] ; b TagBox[TagBox[TagBox["b", Hypergeometric1F1, Rule[Editable, True]], InterpretTemplate[Function[List[SlotSequence[1]]]]], Hypergeometric1F1, Rule[Editable, False]] ; z TagBox["z", Hypergeometric1F1, Rule[Editable, True]] ) ) { { ~ , - a } } /; - a + FormBox RowBox RowBox RowBox SubscriptBox 𝒮𝒾𝓃ℊ z [ RowBox RowBox SubscriptBox ErrorBox FormBox 1 TraditionalForm SubscriptBox F FormBox 1 TraditionalForm RowBox ( RowBox TagBox TagBox TagBox a Hypergeometric1F1 Rule Editable InterpretTemplate Function SlotSequence 1 Hypergeometric1F1 Rule Editable ; TagBox TagBox TagBox b Hypergeometric1F1 Rule Editable InterpretTemplate Function SlotSequence 1 Hypergeometric1F1 Rule Editable ; TagBox z Hypergeometric1F1 Rule Editable ) ] RowBox { RowBox { RowBox OverscriptBox ~ , RowBox - a } } /; RowBox RowBox - a SuperscriptBox + TraditionalForm [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Singularities", "[", RowBox[List[RowBox[List["Hypergeometric1F1", "[", RowBox[List["a_", ",", "b_", ",", "z_"]], "]"]], ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["{", RowBox[List["{", RowBox[List["ComplexInfinity", ",", RowBox[List["-", "a"]]]], "}"]], "}"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "a"]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["-", "a"]], ">", "0"]]]]]]]]]]

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

 2001-10-29