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MathieuC






Mathematica Notation

Traditional Notation









Mathieu and Spheroidal Functions > MathieuC[a,q,z] > Series representations > Generalized power series > Expansions at q==0





http://functions.wolfram.com/11.01.06.0004.01









  


  










Input Form





MathieuC[MathieuCharacteristicA[0, q], q, z] \[Proportional] (1/Sqrt[2]) SeriesData[$CellContext`q, 0, {1, Rational[-1, 2] Cos[2 $CellContext`z], Rational[-1, 16] + Rational[1, 32] Cos[4 $CellContext`z], Rational[11, 128] Cos[2 $CellContext`z] + Rational[-1, 1152] Cos[6 $CellContext`z], Rational[79, 4096] + Rational[-29, 4608] Cos[4 $CellContext`z] + Rational[1, 73728] Cos[8 $CellContext`z], Rational[-1891, 73728] Cos[2 $CellContext`z] + Rational[55, 294912] Cos[6 $CellContext`z] + Rational[-1, 7372800] Cos[10 $CellContext`z], Rational[-36919, 5308416] + Rational[8941, 4718592] Cos[4 $CellContext`z] + Rational[-89, 29491200] Cos[8 $CellContext`z] + Rational[1, 1061683200] Cos[12 $CellContext`z], Rational[1521691, 169869312] Cos[2 $CellContext`z] + Rational[-26641, 471859200] Cos[6 $CellContext`z] + Rational[131, 4246732800] Cos[10 $CellContext`z] + Rational[-1, 208089907200] Cos[14 $CellContext`z], Rational[58304143, 21743271936] + Rational[-11239489, 16986931200] Cos[4 $CellContext`z] + Rational[62299, 67947724800] Cos[8 $CellContext`z] + Rational[-181, 832359628800] Cos[12 $CellContext`z] + Rational[1, 53271016243200] Cos[16 $CellContext`z], Rational[-3664886951, 1087163596800] Cos[2 $CellContext`z] + Rational[48249209, 2446118092800] Cos[6 $CellContext`z] + Rational[-125119, 13317754060800] Cos[10 $CellContext`z] + Rational[239, 213084064972800] Cos[14 $CellContext`z] + Rational[-1, 17259809262796800] Cos[18 $CellContext`z], Rational[-233552934751, 217432719360000] + Rational[7785932591, 31310311587840] Cos[4 $CellContext`z] + Rational[-153642299, 479439146188800] Cos[8 $CellContext`z] + Rational[226201, 3409345039564800] Cos[12 $CellContext`z] + Rational[-61, 13807847410237440] Cos[16 $CellContext`z] + Rational[1, 6903923705118720000] Cos[20 $CellContext`z]}, 0, 11, 1]










Standard Form





Cell[BoxData[RowBox[List[RowBox[List["MathieuC", "[", RowBox[List[RowBox[List["MathieuCharacteristicA", "[", RowBox[List["0", ",", "q"]], "]"]], ",", "q", ",", "z"]], "]"]], "\[Proportional]", RowBox[List[FractionBox["1", SqrtBox["2"]], " ", RowBox[List["(", InterpretationBox[RowBox[List["1", "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "z"]], "]"]], " ", "q"]], "-", RowBox[List[RowBox[List["(", RowBox[List[FractionBox["1", "16"], "-", RowBox[List[FractionBox["1", "32"], " ", RowBox[List["Cos", "[", RowBox[List["4", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox["q", "2"]]], "+", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[FractionBox["11", "128"], " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "z"]], "]"]]]], "-", FractionBox[RowBox[List["Cos", "[", RowBox[List["6", " ", "z"]], "]"]], "1152"]]], ")"]], " ", SuperscriptBox["q", "3"]]], "+", RowBox[List[RowBox[List["(", RowBox[List[FractionBox["79", "4096"], "-", FractionBox[RowBox[List["29", " ", RowBox[List["Cos", "[", RowBox[List["4", " ", "z"]], "]"]]]], "4608"], "+", FractionBox[RowBox[List["Cos", "[", RowBox[List["8", " ", "z"]], "]"]], "73728"]]], ")"]], " ", SuperscriptBox["q", "4"]]], "-", RowBox[List[RowBox[List["(", RowBox[List[FractionBox[RowBox[List["1891", " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "z"]], "]"]]]], "73728"], "-", FractionBox[RowBox[List["55", " ", RowBox[List["Cos", "[", RowBox[List["6", " ", "z"]], "]"]]]], "294912"], "+", FractionBox[RowBox[List["Cos", "[", RowBox[List["10", " ", "z"]], "]"]], "7372800"]]], ")"]], " ", SuperscriptBox["q", "5"]]], "-", RowBox[List[RowBox[List["(", RowBox[List[FractionBox["36919", "5308416"], "-", FractionBox[RowBox[List["8941", " ", RowBox[List["Cos", "[", RowBox[List["4", " ", "z"]], "]"]]]], "4718592"], "+", FractionBox[RowBox[List["89", " ", RowBox[List["Cos", "[", RowBox[List["8", " ", "z"]], "]"]]]], "29491200"], "-", FractionBox[RowBox[List["Cos", "[", RowBox[List["12", " ", "z"]], "]"]], "1061683200"]]], ")"]], " ", SuperscriptBox["q", "6"]]], "+", RowBox[List[RowBox[List["(", RowBox[List[FractionBox[RowBox[List["1521691", " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "z"]], "]"]]]], "169869312"], "-", FractionBox[RowBox[List["26641", " ", RowBox[List["Cos", "[", RowBox[List["6", " ", "z"]], "]"]]]], "471859200"], "+", FractionBox[RowBox[List["131", " ", RowBox[List["Cos", "[", RowBox[List["10", " ", "z"]], "]"]]]], "4246732800"], "-", FractionBox[RowBox[List["Cos", "[", RowBox[List["14", " ", "z"]], "]"]], "208089907200"]]], ")"]], " ", SuperscriptBox["q", "7"]]], "+", RowBox[List[RowBox[List["(", RowBox[List[FractionBox["58304143", "21743271936"], "-", FractionBox[RowBox[List["11239489", " ", RowBox[List["Cos", "[", RowBox[List["4", " ", "z"]], "]"]]]], "16986931200"], "+", FractionBox[RowBox[List["62299", " ", RowBox[List["Cos", "[", RowBox[List["8", " ", "z"]], "]"]]]], "67947724800"], "-", FractionBox[RowBox[List["181", " ", RowBox[List["Cos", "[", RowBox[List["12", " ", "z"]], "]"]]]], "832359628800"], "+", FractionBox[RowBox[List["Cos", "[", RowBox[List["16", " ", "z"]], "]"]], "53271016243200"]]], ")"]], " ", SuperscriptBox["q", "8"]]], "-", RowBox[List[RowBox[List["(", RowBox[List[FractionBox[RowBox[List["3664886951", " ", RowBox[List["Cos", "[", RowBox[List["2", " ", "z"]], "]"]]]], "1087163596800"], "-", FractionBox[RowBox[List["48249209", " ", RowBox[List["Cos", "[", RowBox[List["6", " ", "z"]], "]"]]]], "2446118092800"], "+", FractionBox[RowBox[List["125119", " ", RowBox[List["Cos", "[", RowBox[List["10", " ", "z"]], "]"]]]], "13317754060800"], "-", FractionBox[RowBox[List["239", " ", RowBox[List["Cos", "[", RowBox[List["14", " ", "z"]], "]"]]]], "213084064972800"], "+", FractionBox[RowBox[List["Cos", "[", RowBox[List["18", " ", "z"]], "]"]], "17259809262796800"]]], ")"]], " ", SuperscriptBox["q", "9"]]], "-", RowBox[List[RowBox[List["(", RowBox[List[FractionBox["233552934751", "217432719360000"], "-", FractionBox[RowBox[List["7785932591", " ", RowBox[List["Cos", "[", RowBox[List["4", " ", "z"]], "]"]]]], "31310311587840"], "+", FractionBox[RowBox[List["153642299", " ", RowBox[List["Cos", "[", RowBox[List["8", " ", "z"]], "]"]]]], "479439146188800"], "-", FractionBox[RowBox[List["226201", " ", RowBox[List["Cos", "[", RowBox[List["12", " ", "z"]], "]"]]]], "3409345039564800"], "+", FractionBox[RowBox[List["61", " ", RowBox[List["Cos", "[", RowBox[List["16", " ", "z"]], "]"]]]], "13807847410237440"], "-", FractionBox[RowBox[List["Cos", "[", RowBox[List["20", " ", "z"]], "]"]], "6903923705118720000"]]], ")"]], " ", SuperscriptBox["q", "10"]]], "+", InterpretationBox[SuperscriptBox[RowBox[List["O", "[", "q", "]"]], "11"], SeriesData[$CellContext`q, 0, List[], 0, 11, 1]]]], SeriesData[$CellContext`q, 0, List[1, Times[Rational[-1, 2], Cos[Times[2, $CellContext`z]]], Plus[Rational[-1, 16], Times[Rational[1, 32], Cos[Times[4, $CellContext`z]]]], Plus[Times[Rational[11, 128], Cos[Times[2, $CellContext`z]]], Times[Rational[-1, 1152], Cos[Times[6, $CellContext`z]]]], Plus[Rational[79, 4096], Times[Rational[-29, 4608], Cos[Times[4, $CellContext`z]]], Times[Rational[1, 73728], Cos[Times[8, $CellContext`z]]]], Plus[Times[Rational[-1891, 73728], Cos[Times[2, $CellContext`z]]], Times[Rational[55, 294912], Cos[Times[6, $CellContext`z]]], Times[Rational[-1, 7372800], Cos[Times[10, $CellContext`z]]]], Plus[Rational[-36919, 5308416], Times[Rational[8941, 4718592], Cos[Times[4, $CellContext`z]]], Times[Rational[-89, 29491200], Cos[Times[8, $CellContext`z]]], Times[Rational[1, 1061683200], Cos[Times[12, $CellContext`z]]]], Plus[Times[Rational[1521691, 169869312], Cos[Times[2, $CellContext`z]]], Times[Rational[-26641, 471859200], Cos[Times[6, $CellContext`z]]], Times[Rational[131, 4246732800], Cos[Times[10, $CellContext`z]]], Times[Rational[-1, 208089907200], Cos[Times[14, $CellContext`z]]]], Plus[Rational[58304143, 21743271936], Times[Rational[-11239489, 16986931200], Cos[Times[4, $CellContext`z]]], Times[Rational[62299, 67947724800], Cos[Times[8, $CellContext`z]]], Times[Rational[-181, 832359628800], Cos[Times[12, $CellContext`z]]], Times[Rational[1, 53271016243200], Cos[Times[16, $CellContext`z]]]], Plus[Times[Rational[-3664886951, 1087163596800], Cos[Times[2, $CellContext`z]]], Times[Rational[48249209, 2446118092800], Cos[Times[6, $CellContext`z]]], Times[Rational[-125119, 13317754060800], Cos[Times[10, $CellContext`z]]], Times[Rational[239, 213084064972800], Cos[Times[14, $CellContext`z]]], Times[Rational[-1, 17259809262796800], Cos[Times[18, $CellContext`z]]]], Plus[Rational[-233552934751, 217432719360000], Times[Rational[7785932591, 31310311587840], Cos[Times[4, $CellContext`z]]], Times[Rational[-153642299, 479439146188800], Cos[Times[8, $CellContext`z]]], Times[Rational[226201, 3409345039564800], Cos[Times[12, $CellContext`z]]], Times[Rational[-61, 13807847410237440], Cos[Times[16, $CellContext`z]]], Times[Rational[1, 6903923705118720000], Cos[Times[20, $CellContext`z]]]]], 0, 11, 1]], ")"]]]]]]]]










MathML Form







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</mn> </mfrac> <mo> - </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 32 </mn> </mfrac> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mfrac> <mn> 11 </mn> <mn> 128 </mn> </mfrac> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 1152 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mn> 79 </mn> <mn> 4096 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 29 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 4608 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 8 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 73728 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 4 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mrow> <mn> 1891 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 73728 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 55 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 294912 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 7372800 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 5 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mn> 36919 </mn> <mn> 5308416 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 8941 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 4718592 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 89 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 8 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 29491200 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 1061683200 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mrow> <mn> 1521691 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 169869312 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 26641 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 471859200 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 131 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 4246732800 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 14 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 208089907200 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mn> 58304143 </mn> <mn> 21743271936 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 11239489 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 16986931200 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 62299 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 8 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 67947724800 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 181 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 832359628800 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 16 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 53271016243200 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 8 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mrow> <mn> 3664886951 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 1087163596800 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 48249209 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 6 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 2446118092800 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 125119 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 10 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 13317754060800 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 239 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 14 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 213084064972800 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 18 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mn> 17259809262796800 </mn> </mfrac> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <msup> <mi> q </mi> <mn> 9 </mn> </msup> </mrow> <mo> - </mo> <mrow> <mrow> <mo> ( </mo> <mrow> <mfrac> <mn> 233552934751 </mn> <mn> 217432719360000 </mn> </mfrac> <mo> - </mo> <mfrac> <mrow> <mn> 7785932591 </mn> <mo> &#8290; </mo> <mrow> <mi> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mn> 31310311587840 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 153642299 </mn> <mo> &#8290; </mo> <mrow> 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</apply> </apply> <apply> <plus /> <cn type='rational'> -36919 <sep /> 5308416 </cn> <apply> <times /> <cn type='rational'> 8941 <sep /> 4718592 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -89 <sep /> 29491200 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 8 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 1061683200 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 12 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> 1521691 <sep /> 169869312 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -26641 <sep /> 471859200 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 6 </cn> <ci> $CellContext`z </ci> 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$CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 53271016243200 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 16 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> -3664886951 <sep /> 1087163596800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 48249209 <sep /> 2446118092800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 6 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -125119 <sep /> 13317754060800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 10 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 239 <sep /> 213084064972800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 14 </cn> <ci> $CellContext`z </ci> 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<cn type='integer'> 16 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 6903923705118720000 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 20 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> </apply> </list> <cn type='integer'> 0 </cn> <cn type='integer'> 11 </cn> <cn type='integer'> 1 </cn> </apply> </annotation-xml> </semantics> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportional </ci> <apply> <ci> Ce </ci> <apply> <ci> MathieuCharacteristicA </ci> <cn type='integer'> 0 </cn> <ci> q </ci> </apply> <ci> q </ci> <ci> z </ci> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <ci> SeriesData </ci> <ci> $CellContext`q </ci> <cn type='integer'> 0 </cn> <list> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='rational'> -1 <sep /> 2 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <plus /> <cn type='rational'> -1 <sep /> 16 </cn> <apply> <times /> <cn type='rational'> 1 <sep /> 32 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 4 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> 11 <sep /> 128 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -1 <sep /> 1152 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 6 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> </apply> <apply> <plus /> <cn type='rational'> 79 <sep /> 4096 </cn> <apply> <times /> <cn type='rational'> -29 <sep /> 4608 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 4 </cn> 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</apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='rational'> -3664886951 <sep /> 1087163596800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 48249209 <sep /> 2446118092800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 6 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -125119 <sep /> 13317754060800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 10 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 239 <sep /> 213084064972800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 14 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -1 <sep /> 17259809262796800 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 18 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> 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Rule Form





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





2001-10-29





© 1998- Wolfram Research, Inc.