Mathieu function: Difference between revisions

Revision as of 23:34, 3 October 2005

Revision as of 23:35, 3 October 2005

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where <math>\mu</math> is a complex number, the ''Mathieu exponent'', and P is a complex valued function which is ''periodic'' with period <math>\pi</math>. However, P is in general ''not'' sinusoidal. In the example plotted below, <math>a=1, \, q=0.2, \, \mu \approx 1 + 0.0995 i</math>:

[[Image:MathieuFloquet.gif|frame|center|A Floquet solution F(1,0.2, x) to Mathieu's equation (real part, red; imaginary part, green).]]

==Mathieu sine and cosine==