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MathieuSPrime






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/11.04.06.0007.01









  


  










Input Form





MathieuSPrime[MathieuCharacteristicB[4, q], q, z] \[Proportional] 4 Cos[4 z] + ((1/6) Cos[2 z] - (3/10) Cos[6 z]) q + ((-(17/900)) Cos[4 z] + (1/120) Cos[8 z]) q^2 + ((-(1/800)) Cos[2 z] + (29 Cos[6 z])/48000 - Cos[10 z]/8064) q^3 + ((18839 Cos[4 z])/103680000 - Cos[8 z]/112000 + Cos[12 z]/860160) q^4 + ((40159 Cos[2 z])/2488320000 - (65633 Cos[6 z])/9676800000 + (67 Cos[10 z])/928972800 - Cos[14 z]/132710400) q^5 + (-((1933949 Cos[4 z])/677376000000) + (23351 Cos[8 z])/199065600000 - Cos[12 z]/3096576000 + Cos[16 z]/27869184000) q^6 + SeriesData[$CellContext`q, 0, {}, 0, 11, 1]










Standard Form





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MathML Form







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$CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> -1 <sep /> 3096576000 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 12 </cn> <ci> $CellContext`z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 27869184000 </cn> <apply> <cos /> <apply> <times /> <cn type='integer'> 16 </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> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29





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