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 NorlundB

 http://functions.wolfram.com/05.16.23.0004.01

 Input Form

 Sum[(NorlundB[k, k] z^k)/(k k!), {k, 1, Infinity}] == -Log[z/Log[1 + z]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["NorlundB", "[", RowBox[List["k", ",", "k"]], "]"]], " ", SuperscriptBox["z", "k"]]], RowBox[List["k", " ", RowBox[List["k", "!"]]]]]]], "\[Equal]", RowBox[List["-", RowBox[List["Log", "[", FractionBox["z", RowBox[List["Log", "[", RowBox[List["1", "+", "z"]], "]"]]], "]"]]]]]]]]

 MathML Form

 k = 1 B TagBox["B", NorlundB] k ( k ) z k k k ! - log ( z log ( z + 1 ) ) k 1 NorlundB k k z k k k -1 -1 z z 1 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List[RowBox[List["NorlundB", "[", RowBox[List["k_", ",", "k_"]], "]"]], " ", SuperscriptBox["z_", "k_"]]], RowBox[List["k_", " ", RowBox[List["k_", "!"]]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["Log", "[", FractionBox["z", RowBox[List["Log", "[", RowBox[List["1", "+", "z"]], "]"]]], "]"]]]]]]]]

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

 2007-05-02