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MathieuS






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/11.02.06.0001.01









  


  










Input Form





MathieuS[MathieuCharacteristicB[2 n + 2, q], q, z] == Sum[Subscript[B, 2 k + 2]^(2 n + 2) Sin[(2 k + 2) z], {k, 0, Infinity}] /; (MathieuCharacteristicB[2 n, q] - 4) Subscript[B, 2]^(2 n + 2) - q Subscript[B, 4]^(2 n + 2) == 0 && (MathieuCharacteristicB[2 n, q] - 4 k^2) Subscript[B, 2 k]^(2 n) - q (Subscript[B, 2 k + 2]^(2 n + 2) + Subscript[B, 2 k - 2]^(2 n + 2)) == 0 && Sum[Subscript[B, 2 k + 1]^(2 n + 1), {k, 0, Infinity}] == 1 && Element[n, Integers]










Standard Form





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MathML Form







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Rule Form





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





2001-10-29





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