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MathieuC






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/11.01.06.0001.01









  


  










Input Form





MathieuC[MathieuCharacteristicA[2 n, q], q, z] == Sum[Subscript[A, 2 k]^(2 n) Cos[2 k z], {k, 0, Infinity}] /; MathieuCharacteristicA[2 n, q] Subscript[A, 0]^(2 n) - q Subscript[A, 2]^(2 n) == 0 && (MathieuCharacteristicA[2 n, q] - 4) Subscript[A, 2]^(2 n) - q (Subscript[A, 4]^(2 n) - 2 Subscript[A, 0]^(2 n)) == 0 && (MathieuCharacteristicA[2 n, q] - 4 k^2) Subscript[A, 2 k]^(2 n) - q (Subscript[A, 2 k + 2]^(2 n) + Subscript[A, 2 k - 2]^(2 n)) == 0 && 2 (Subscript[A, 0]^(2 n))^2 + Sum[Subscript[A, 2 k]^(2 n), {k, 1, 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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