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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/11.02.06.0002.01









  


  








Input Form





MathieuS[MathieuCharacteristicB[2 n + 1, q], q, z] == Sum[Subscript[B, 2 k + 1]^(2 n + 1) Sin[(2 k + 1) z], {k, 0, Infinity}] /; (MathieuCharacteristicB[2 n + 1, q] - 1 - q) Subscript[B, 1]^(2 n + 1) - q Subscript[B, 3]^(2 n + 1) == 0 && (MathieuCharacteristicB[2 n + 1, q] - (2 k + 1)^2) Subscript[B, 2 k + 1]^(2 n + 1) - q (Subscript[B, 2 k + 3]^(2 n + 1) + Subscript[B, 2 k - 1]^(2 n + 1)) == 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