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MathieuCharacteristicA






Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > MathieuCharacteristicA[r,q] > Series representations > Generalized power series > Expansions at q==0





http://functions.wolfram.com/11.05.06.0007.01









  


  










Input Form





MathieuCharacteristicA[5, q] \[Proportional] SeriesData[$CellContext`q, 0, {25, 0, Rational[1, 48], 0, Rational[11, 774144], Rational[1, 147456], Rational[37, 891813888], Rational[-7, 339738624], Rational[63439, 201364441399296], Rational[-1, 2130840649728], Rational[-60609509, 5799295912299724800], Rational[-6655, 88370223425519616], Rational[105674803279, 2400630141488295680409600], Rational[-5574517, 4988322371923731283968], Rational[-16772318839, 395075131856359517690265600], Rational[65998078949, 2394394738523391016304640000], Rational[670043657712623, 3247054871864845067146864392929280], Rational[-6770772278721223, 49062642294661120520076247695360000], Rational[240333014990212253, 56109108185824522760297816709817958400], Rational[120574357589460233, 452161311387596886713022698760437760000], Rational[-50669327402196350835443, 565579810513111189423801992434965020672000000]}, 0, 21, 1]










Standard Form





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MathML Form







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Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["MathieuCharacteristicA", "[", RowBox[List["5", ",", "q_"]], "]"]], "]"]], "\[RuleDelayed]", InterpretationBox[RowBox[List["25", "+", RowBox[List[FractionBox["1", "48"], " ", SuperscriptBox["$CellContext`q", "2"]]], "+", RowBox[List[FractionBox["11", "774144"], " ", SuperscriptBox["$CellContext`q", "4"]]], "+", RowBox[List[FractionBox["1", "147456"], " ", SuperscriptBox["$CellContext`q", "5"]]], "+", RowBox[List[FractionBox["37", "891813888"], " ", SuperscriptBox["$CellContext`q", "6"]]], "-", RowBox[List[FractionBox["7", "339738624"], " ", SuperscriptBox["$CellContext`q", "7"]]], "+", RowBox[List[FractionBox["63439", "201364441399296"], " ", SuperscriptBox["$CellContext`q", "8"]]], "-", RowBox[List[FractionBox["1", "2130840649728"], " ", SuperscriptBox["$CellContext`q", "9"]]], "-", RowBox[List[FractionBox["60609509", "5799295912299724800"], " ", SuperscriptBox["$CellContext`q", "10"]]], "-", RowBox[List[FractionBox["6655", "88370223425519616"], " ", SuperscriptBox["$CellContext`q", "11"]]], "+", RowBox[List[FractionBox["105674803279", "2400630141488295680409600"], " ", SuperscriptBox["$CellContext`q", "12"]]], "-", RowBox[List[FractionBox["5574517", "4988322371923731283968"], " ", SuperscriptBox["$CellContext`q", "13"]]], "-", RowBox[List[FractionBox["16772318839", "395075131856359517690265600"], " ", SuperscriptBox["$CellContext`q", "14"]]], "+", RowBox[List[FractionBox["65998078949", "2394394738523391016304640000"], " ", SuperscriptBox["$CellContext`q", "15"]]], "+", RowBox[List[FractionBox["670043657712623", "3247054871864845067146864392929280"], " ", SuperscriptBox["$CellContext`q", "16"]]], "-", RowBox[List[FractionBox["6770772278721223", "49062642294661120520076247695360000"], " ", SuperscriptBox["$CellContext`q", "17"]]], "+", RowBox[List[FractionBox["240333014990212253", "56109108185824522760297816709817958400"], " ", SuperscriptBox["$CellContext`q", "18"]]], "+", RowBox[List[FractionBox["120574357589460233", "452161311387596886713022698760437760000"], " ", SuperscriptBox["$CellContext`q", "19"]]], "-", RowBox[List[FractionBox["50669327402196350835443", "565579810513111189423801992434965020672000000"], " ", SuperscriptBox["$CellContext`q", "20"]]], "+", InterpretationBox[SuperscriptBox[RowBox[List["O", "[", "$CellContext`q", "]"]], "21"], SeriesData[$CellContext`q, 0, List[], 0, 21, 1], Rule[Editable, False]]]], SeriesData[$CellContext`q, 0, List[25, 0, Rational[1, 48], 0, Rational[11, 774144], Rational[1, 147456], Rational[37, 891813888], Rational[-7, 339738624], Rational[63439, 201364441399296], Rational[-1, 2130840649728], Rational[-60609509, 5799295912299724800], Rational[-6655, 88370223425519616], Rational[105674803279, 2400630141488295680409600], Rational[-5574517, 4988322371923731283968], Rational[-16772318839, 395075131856359517690265600], Rational[65998078949, 2394394738523391016304640000], Rational[670043657712623, 3247054871864845067146864392929280], Rational[-6770772278721223, 49062642294661120520076247695360000], Rational[240333014990212253, 56109108185824522760297816709817958400], Rational[120574357589460233, 452161311387596886713022698760437760000], Rational[-50669327402196350835443, 565579810513111189423801992434965020672000000]], 0, 21, 1], Rule[Editable, False]]]]]]










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





2001-10-29





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