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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/11.04.06.0004.01









  


  










Input Form





MathieuSPrime[MathieuCharacteristicB[1, q], q, z] \[Proportional] Cos[z] - (3/8) Cos[3 z] q + (-(Cos[z]/128) + (3/64) Cos[3 z] + (5/192) Cos[5 z]) q^2 + (Cos[z]/512 + Cos[3 z]/1024 - (5 Cos[5 z])/1152 - (7 Cos[7 z])/9216) q^3 + (-((37 Cos[z])/294912) - (49 Cos[3 z])/24576 + (7 Cos[7 z])/49152 + Cos[9 z]/81920) q^4 + (-((121 Cos[z])/1769472) + (317 Cos[3 z])/786432 + (205 Cos[5 z])/1179648 - (7 Cos[7 z])/5898240 - Cos[9 z]/409600 - (11 Cos[11 z])/88473600) q^5 + ((8105 Cos[z])/339738624 + (103 Cos[3 z])/18874368 - (731 Cos[5 z])/18874368 - (2653 Cos[7 z])/471859200 + Cos[9 z]/31457280 + (11 Cos[11 z])/424673280 + (13 Cos[13 z])/14863564800) q^6 + O[q]^11










Standard Form





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MathML Form







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</apply> </apply> <apply> <ci> SeriesData </ci> <ci> $CellContext`q </ci> <cn type='integer'> 0 </cn> <list /> <cn type='integer'> 0 </cn> <cn type='integer'> 11 </cn> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29





© 1998-2014 Wolfram Research, Inc.