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 Quotient

 http://functions.wolfram.com/04.07.22.0004.01

 Input Form

 LaplaceTransform[Quotient[t, n], t, z] == 1/((E^(n z) - 1) z) /; Re[n z] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Quotient", "[", RowBox[List["t", ",", "n"]], "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", FractionBox["1", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["n", " ", "z"]]], "-", "1"]], ")"]], " ", "z"]]]]], "/;", RowBox[List[RowBox[List["Re", "[", RowBox[List["n", " ", "z"]], "]"]], ">", "0"]]]]]]

 MathML Form

 t [ quotient ( t , n ) ] ( z ) 1 ( n z - 1 ) z /; Re ( n z ) > 0 Condition LaplaceTransform quotient t n t z 1 n z -1 z -1 n z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Quotient", "[", RowBox[List["t_", ",", "n_"]], "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["n", " ", "z"]]], "-", "1"]], ")"]], " ", "z"]]], "/;", RowBox[List[RowBox[List["Re", "[", RowBox[List["n", " ", "z"]], "]"]], ">", "0"]]]]]]]]

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

 2001-10-29