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variants of this functions
Log




Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/01.04.26.0094.01









  


  








Input Form





(1/(z + d)) Log[1/z] == (Pi/d) MeijerG[{{0, 0}, {1/2}}, {{0, 0}, {1/2}}, z/d] - (Log[d]/d) MeijerG[{{0}, {}}, {{0}, {}}, z/d] /; d > 0 && !IntervalMemberQ[Interval[{-d, 0}], z]








Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox[RowBox[List["Log", "[", FractionBox["1", "z_"], "]"]], RowBox[List["z_", "+", "d_"]]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["0", ",", "0"]], "}"]], ",", RowBox[List["{", FractionBox["1", "2"], "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["0", ",", "0"]], "}"]], ",", RowBox[List["{", FractionBox["1", "2"], "}"]]]], "}"]], ",", FractionBox["z", "d"]]], "]"]]]], "d"], "-", FractionBox[RowBox[List[RowBox[List["Log", "[", "d", "]"]], " ", RowBox[List["MeijerG", "[", RowBox[List[RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", RowBox[List["{", RowBox[List[RowBox[List["{", "0", "}"]], ",", RowBox[List["{", "}"]]]], "}"]], ",", FractionBox["z", "d"]]], "]"]]]], "d"]]], "/;", RowBox[List[RowBox[List["d", ">", "0"]], "&&", RowBox[List["!", RowBox[List["IntervalMemberQ", "[", RowBox[List[RowBox[List["Interval", "[", RowBox[List["{", RowBox[List[RowBox[List["-", "d"]], ",", "0"]], "}"]], "]"]], ",", "z"]], "]"]]]]]]]]]]]]


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





2003-08-21