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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Representations through more general functions > Through Meijer G > Classical cases involving incomplete gamma functions ||| Classical cases involving incomplete gamma functions





http://functions.wolfram.com/01.03.26.0021.01









  


  








Input Form





E^z Gamma[a, 0, z] == z^a Gamma[a] MeijerG[{{0}, {}}, {{0}, {-a}}, -z]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], " ", RowBox[List["Gamma", "[", RowBox[List["a", ",", "0", ",", "z"]], "]"]]]], "\[Equal]", RowBox[List[SuperscriptBox["z", "a"], " ", RowBox[List["Gamma", "[", "a", "]"]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", RowBox[List["-", "a"]], "}"]]]], "}"]], ",", RowBox[List["-", "z"]]]], "]"]]]]]]]]








MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["\[ExponentialE]", "z_"], " ", RowBox[List["Gamma", "[", RowBox[List["a_", ",", "0", ",", "z_"]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", "a"], " ", RowBox[List["Gamma", "[", "a", "]"]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", RowBox[List["-", "a"]], "}"]]]], "}"]], ",", RowBox[List["-", "z"]]]], "]"]]]]]]]]


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





2001-10-29