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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/11.03.06.0008.01









  


  










Input Form





MathieuCPrime[MathieuCharacteristicA[4, q], q, z] \[Proportional] -(4 Sin[4 z]) + ((-(1/6)) Sin[2 z] + (3/10) Sin[6 z]) q + ((17/900) Sin[4 z] - (1/120) Sin[8 z]) q^2 + (-((7 Sin[2 z])/14400) - (29 Sin[6 z])/48000 + Sin[10 z]/8064) q^3 + ((22411 Sin[4 z])/103680000 + Sin[8 z]/112000 - Sin[12 z]/860160) q^4 + ((39491 Sin[2 z])/2488320000 - (97117 Sin[6 z])/9676800000 - (67 Sin[10 z])/928972800 + Sin[14 z]/132710400) q^5 + (-((10022209 Sin[4 z])/6096384000000) + (39649 Sin[8 z])/199065600000 + Sin[12 z]/3096576000 - Sin[16 z]/27869184000) q^6 + ((88961041 Sin[2 z])/877879296000000 + (68332987 Sin[6 z])/ 1300561920000000 - (211243 Sin[10 z])/93640458240000 - Sin[14 z]/1911029760000 + Sin[18 z]/7629963264000) q^7 + (-((3503676485287 Sin[4 z])/67421129932800000000) - (29028749 Sin[8 z])/35115171840000000 + (18517 Sin[12 z])/ 1109812838400000 - (23 Sin[16 z])/7725337804800000 - Sin[20 z]/2636915304038400) q^8 + (-((5763181587047 Sin[2 z])/1618107118387200000000) + (2686845093031 Sin[6 z])/898948399104000000000 + (194272651 Sin[10 z])/25170555174912000000 - (164327 Sin[14 z])/1883510931456000000 + (23 Sin[18 z])/ 878971768012800000 + Sin[22 z]/1121887602081792000) q^9 + ((618233476217857 Sin[4 z])/1699012474306560000000000 - (5461479238529 Sin[8 z])/75511665524736000000000 - (43505923 Sin[12 z])/922920356413440000000 + (4117 Sin[16 z])/12108284559360000000 - (41 Sin[20 z])/ 370222908686991360000 - Sin[24 z]/575902302401986560000) 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





© 1998-2014 Wolfram Research, Inc.