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MathieuCPrime






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/11.03.06.0006.01









  


  










Input Form





MathieuCPrime[MathieuCharacteristicA[2, q], q, z] \[Proportional] -(2 Sin[2 z]) + (1/3) Sin[4 z] q + ((19/144) Sin[2 z] - (1/64) Sin[6 z]) q^2 + (-((11 Sin[4 z])/1152) + Sin[8 z]/2880) q^3 + (-((51191 Sin[2 z])/1327104) + (29 Sin[6 z])/122880 - Sin[10 z]/221184) q^4 + ((181193 Sin[4 z])/39813120 - (23 Sin[8 z])/8294400 + Sin[12 z]/25804800) q^5 + ((88995077 Sin[2 z])/6370099200 - (778189 Sin[6 z])/4246732800 + Sin[10 z]/61931520 - Sin[14 z]/4246732800) q^6 + (-((81026723 Sin[4 z])/45864714240) + (332933 Sin[8 z])/ 89181388800 - Sin[12 z]/46242201600 + Sin[16 z]/936404582400) q^7 + (-((4746016900871 Sin[2 z])/880602513408000) + (2526784843 Sin[6 z])/ 34245653299200 - (25811 Sin[10 z])/561842749440 - (79 Sin[14 z])/205473919795200 - Sin[18 z]/266355081216000) q^8 + ((25918360893277 Sin[4 z])/36985305563136000 - (16587823349 Sin[8 z])/ 10787380789248000 + (362869 Sin[12 z])/958878292377600 + (19 Sin[16 z])/5393690394624000 + Sin[20 z]/94928950945382400) q^9 + ((67083347965282273 Sin[2 z])/31067656673034240000 - (163850664620431 Sin[6 z])/5523138964094976000 + (31842087803 Sin[10 z])/1656941689228492800 - (13981 Sin[14 z])/6262062317568000 - (73 Sin[18 z])/4219064486461440000 - Sin[22 z]/41423542230712320000) q^10 + SeriesData[$CellContext`q, 0, {}, 0, 11, 1]










Standard Form





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MathML Form







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





2001-10-29





© 1998- Wolfram Research, Inc.